Computation of topological indices of certain networks. Zbl 1334.05160
Hayat, Sakander; Imran, Muhammad |
|
2014
|
On the metric dimension of circulant graphs. Zbl 1243.05072
Imran, Muhammad; Baig, A. Q.; Bokhary, Syed Ahtsham Ul Haq; Javaid, Imran |
|
2012
|
On Zagreb indices, Zagreb polynomials of some nanostar dendrimers. Zbl 1410.05058
Siddiqui, Muhammad Kamran; Imran, Muhammad; Ahmad, Ali |
|
2016
|
Families of plane graphs with constant metric dimension. Zbl 1255.05056
Imran, Muhammad; Baig, A. Q.; Ahmad, Ali |
|
2012
|
On families of convex polytopes with constant metric dimension. Zbl 1205.05067
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. |
|
2010
|
On classes of regular graphs with constant metric dimension. Zbl 1289.05125
Imran, Muhammad; Bokhary, Syed Ahtsham ul Haq; Ahmad, Ali; Semaničová-Feňovčíková, Andrea |
|
2013
|
On Wiener index and Wiener polarity index of some polyomino chains. Zbl 1495.05035
Ahmad, Sarfraz; Siddiqui, Hafiz Muhammad Afzal; Ali, Arfan; Farahani, Mohammad R.; Imran, Muhammad; Cangul, Ismail Naci |
|
2019
|
Computing the metric dimension of wheel related graphs. Zbl 1334.05133
Afzal Siddiqui, Hafiz Muhammad; Imran, Muhammad |
|
2014
|
Computing the forgotten topological index of four operations on graphs. Zbl 1372.05038
Akhter, Shehnaz; Imran, Muhammad |
|
2017
|
On topological indices of certain interconnection networks. Zbl 1335.05169
Imran, Muhammad; Hayat, Sakander; Mailk, Muhammad Yasir Hayat |
|
2014
|
On metric and partition dimensions of some infinite regular graphs. Zbl 1199.05257
Tomescu, Ioan; Imran, Muhammad |
|
2009
|
On the metric dimension of Möbius ladders. Zbl 1274.05119
Ali, Murtaza; Ali, Gohar; Imran, Muhammad; Baig, A. Q.; Shafiq, Muhammad Kashif |
|
2012
|
On metric dimension of generalized Petersen graphs \(P(n,3)\). Zbl 1349.05090
Imran, Muhammad; Baig, A. Q.; Shafiq, M. K.; Tomecu, Ioan |
|
2014
|
The sharp bounds on general sum-connectivity index of four operations on graphs. Zbl 1346.05242
Akhter, Shehnaz; Imran, Muhammad |
|
2016
|
Extremal unicyclic and bicyclic graphs with respect to the \(F\)-index. Zbl 1372.05039
Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad Reza |
|
2017
|
Topological properties of benzenoid, phenylenes and nanostar dendrimers. Zbl 1495.05046
Imran, Muhammad; Siddiqui, Muhammad Kamran; Ahmad, Sarfraz; Hanif, Muhammad Farhan; Muhammad, Mehwish Hussain; Farahani, Mohammad Reza |
|
2019
|
On topological properties of Sierpinski networks. Zbl 1372.92121
Imran, Muhammad; Sabeel-e-Hafi; Gao, Wei; Reza Farahani, Mohammad |
|
2017
|
Metric dimension and \(R\)-sets of connected graphs. Zbl 1235.05046
Tomescu, Ioan; Imran, Muhammad |
|
2011
|
On topological indices of honeycomb networks and graphene networks. Zbl 1396.05107
Akhter, Shehnaz; Imran, Muhammad; Gao, Wei; Farahani, Mohammad Reza |
|
2018
|
Computing the metric dimension of convex polytopes generated by wheel related graphs. Zbl 1389.05029
Imran, M.; Siddiqui, H. M. A. |
|
2016
|
Bounds for the general sum-connectivity index of composite graphs. Zbl 1360.05030
Akhter, Shehnaz; Imran, Muhammad; Raza, Zahid |
|
2017
|
Eccentricity based topological indices of honeycomb networks. Zbl 1495.05044
Imran, Muhammad; Abunamous, Amna A. E.; Adi, Dana; Rafique, Sadia Hafa; Baig, Abdul Qudair; Farahani, Mohammad Reza |
|
2019
|
Modified eccentric descriptors of crystal cubic carbon. Zbl 1495.05045
Imran, Muhammad; Naeem, Muhammad; Baig, Abdul Qadair; Siddiqui, Muhammad Kamran; Zahid, Manzoor A.; Gao, Wei |
|
2019
|
Classes of convex polytopes with constant metric dimension. Zbl 1273.05123
Imran, Muhammad; Baig, A. Q.; Shafiq, M. K.; Semaničová-Feňovčíková, Andrea |
|
2013
|
On the general sum-connectivity index and general Randić index of cacti. Zbl 1351.05131
Akhter, Shehnaz; Imran, Muhammad; Raza, Zahid |
|
2016
|
On the metric dimension of rotationally-symmetric graphs. Zbl 1413.05080
Imran, Muhammad; Baig, A. Q.; Bokhary, Syed Ahtsham Ul Haq |
|
2016
|
Families of rotationally-symmetric plane graphs with constant metric dimension. Zbl 1289.05100
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. |
|
2012
|
On metric dimension of flower graphs \(f_{n \times m}\) and convex polytopes. Zbl 1293.05081
Imran, Muhammad; Bashir, Fozia; Baig, A. Q.; Ul Haq Bokhary, Syed Ahtsham; Riasat, Ayesha; Tomescu, Ioan |
|
2013
|
The eccentric based Zagreb indices of carbon graphite. Zbl 1482.05051
Khalaf, Abdul Jalil M.; Baig, Abdul Qudair; Azhar, Muhammad Razwan; Imran, Muhammad; Farahani, Mohammad Reza |
|
2020
|
Sharp bounds on the Sombor energy of graphs. Zbl 1505.92293
Rather, Bilal Ahmad; Imran, Muhammad |
|
2022
|
Sharp bounds for the general sum-connectivity indices of transformation graphs. Zbl 1401.05160
Wang, Haiying; Liu, Jia-Bao; Wang, Shaohui; Gao, Wei; Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad R. |
|
2017
|
Resolvability and fault-tolerant resolvability structures of convex polytopes. Zbl 1433.05104
Siddiqui, Hafiz Muhammad Afzal; Hayat, Sakander; Khan, Asad; Imran, Muhammad; Razzaq, Ayesha; Liu, Jia-Bao |
|
2019
|
Vertex irregular total labeling of cubic graphs. Zbl 1300.05272
Ahmad, Ali; ul Haq Bokhary, Syed Ahtsham; Imran, Muhammad; Baig, A. Q. |
|
2013
|
On the metric dimension of barycentric subdivision of Cayley graphs. Zbl 1410.05047
Imran, Muhammad |
|
2016
|
On the metric dimension of rotationally-symmetric convex polytopes. Zbl 1428.52018
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. |
|
2016
|
Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy. Zbl 1503.26077
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip |
|
2020
|
A note on energy and Sombor energy of graphs. Zbl 1505.92294
Rather, Bilal Ahmad; Imran, Muhammad |
|
2023
|
Eccentricity based topological indices of an oxide network. Zbl 1524.05050
Imran, Muhammad; Siddiqui, Muhammad Kamran; Abunamous, Amna A. E.; Adi, Dana; Rafique, Saida Hafsa; Baig, Abdul Qudair |
|
2018
|
On the metric dimension of barycentric subdivision of Cayley graphs \(\mathrm{Cay}(Z_{n}\oplus Z_{m})\). Zbl 1349.05082
Ahmad, A.; Imran, M.; Al-Mushayt, O.; Bokhary, S. A. U. H. |
|
2016
|
On the bounds of degree-based topological indices of the Cartesian product of \(F\)-sum of connected graphs. Zbl 1381.92107
Imran, Muhammad; Baby, Shakila; Siddiqui, Hafiz Muhammad Afzal; Shafiq, Muhammad Kashif |
|
2017
|
On resolvability in double-step circulant graphs. Zbl 1313.05091
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq |
|
2014
|
Computing topological polynomials of mesh-derived networks. Zbl 1404.92225
Imran, Muhammad; Baig, Abdul Qudair; ur Rehman, Shafiq; Ali, Haidar; Hasni, Roslan |
|
2018
|
On topological properties of poly honeycomb networks. Zbl 1399.05061
Imran, Muhammad; Baig, Abdul Qudair; Ali, Haidar; Ur Rehman, Shafiq |
|
2016
|
Computing the metric dimension of gear graphs. Zbl 1423.05056
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Hussain, Muhammad; Bilal, Hafiz Muhammad; Cheema, Imran Zulfiqar; Tabraiz, Ali; Saleem, Zeeshan |
|
2018
|
Development of time-limited model reduction technique for one-dimensional and two-dimensional systems with error bound via balanced structure. Zbl 07566321
Imran, Muhammad; Imran, Muhammad |
|
2022
|
On metric dimensions of symmetric graphs obtained by rooted product. Zbl 1515.05067
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Hussain, Muhammad |
|
2018
|
On resolvability and exchange property in antiweb-wheels. Zbl 1383.05082
Naeem, Rishi; Imran, Muhammad |
|
2017
|
Order divisor graphs of finite groups. Zbl 1438.05124
Rehman, S. U.; Baig, A. Q.; Imran, M.; Khan, Z. U. |
|
2018
|
Super edge-magic labeling of volvox and pancyclic graphs. Zbl 1293.05330
Baig, A. Q.; Afzal, Hafiz U.; Imran, M.; Javaid, I. |
|
2014
|
New classes of convex polytopes with constant metric dimension. Zbl 1310.05077
Imran, Muhammad; Baig, A. Q.; Bokhary, S. A.; Baskoro, E. T. |
|
2014
|
Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers. Zbl 1428.05087
Siddiqui, Muhammad Kamran; Imran, Muhammad; Iqbal, Muhammad Azhar |
|
2019
|
An infinite class of convex polytopes with constant metric dimension. Zbl 1253.05065
Imran, Muhammad; Baig, A. Q. |
|
2012
|
Total vertex irregularity strength of disjoint union of Helm graphs. Zbl 1257.05144
Ahmad, Ali; Baskoro, E. T.; Imran, M. |
|
2012
|
Edge irregularity strength of certain families of comb graph. Zbl 1452.05166
Zhang, Xiujun; Cancan, Murat; Nadeem, Muhammad Faisal; Imran, Muhammad |
|
2020
|
On vertex irregular total labelings of cartesian products of two paths. Zbl 1274.05412
Bokhary, Syed Ahtsham ul Haq; Ahmad, Ali; Imran, M. |
|
2013
|
On metric dimension of convex polytopes with pendant edges. Zbl 1424.05067
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q.; Tomescu, Ioan |
|
2016
|
A special class of convex polytopes with constant metric dimension. Zbl 1234.05071
Imran, M.; Baig, A. Q. |
|
2011
|
On topological indices of fractal and Cayley tree type dendrimers. Zbl 1417.05231
Imran, Muhammad; Baig, Abdul Qudair; Khalid, Waqas |
|
2018
|
The eccentric version of atom-bond connectivity index of tetra sheet networks. Zbl 1400.05137
Imran, Muhammad; Baig, Abdul Qudair; Azhar, Muhammad Razwan |
|
2018
|
Degree-based topological indices of double graphs and strong double graphs. Zbl 1386.05187
Imran, Muhammad; Akhter, Shehnaz |
|
2017
|
Gutman index of some derived graphs. Zbl 1425.05043
Ali, Bahadur; Imran, Muhammad; Malik, M. Aslam; Siddiqui, Hafiz Muhammad Afzal; Bilal, Ahsan; Farahani, Mohammad Reza |
|
2019
|
On topological properties of hexagonal and silicate networks. Zbl 1471.05102
Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad Reza; Javaid, Imran |
|
2019
|
Robust nonlinear observer-based controller design for one-sided Lipschitz switched systems with time-varying delays. Zbl 1507.93070
Iqbal, Waseem; Ghous, Imran; Ansari, Ejaz Ahmad; Duan, Zhaoxia; Imran, Muhammad; Khan, Asim Ali; Humayun, Mirza Tariq |
|
2023
|
Dynamics of melting heat transfer in thermally developed and chemically reactive flow of Eyring-Powell liquid through a curved channel. Zbl 1533.76123
Naveed, M.; Imran, M.; Akhtar, S.; Abbas, Z.; Ullah, S. |
|
2023
|
Computing forgotten topological index of extremal cactus chains. Zbl 1514.05038
Cancan, Murat; Imran, Muhammad; Akhter, Shehnaz; Siddiqui, Muhammad Kamran; Hanif, Muhammad Farhan |
|
2021
|
Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models. Zbl 1520.93086
Imran, Muhammad; Imran, Muhammad |
|
2023
|
Extremal \(k\)-generalized quasi trees for general sum-connectivity index. Zbl 1513.05216
Jamil, Muhammad Kamran; Tomescu, Ioan; Imran, Muhammad |
|
2020
|
Model order reduction framework for discrete-time systems with error bound via balanced structure. Zbl 1504.93042
Imran, Muhammad; Imran, Muhammad |
|
2022
|
On super edge-magicness of graphs. Zbl 1270.05084
Ahmad, Ali; Baig, A. Q.; Imran, Muhammad |
|
2012
|
Super \(d\)-antimagic labeling of uniform subdivision of wheel. Zbl 1349.05292
Imran, Muhammad; Siddiqui, Muhammad Kamran; Numan, Muhammad |
|
2015
|
On super edge-magic deficiency of volvox and dumbbell graphs. Zbl 1348.05106
Imran, Muhammad; Afzal, Hafiz Usman; Baig, A. Q. |
|
2016
|
On the metric dimension and diameter of circulant graphs with three jumps. Zbl 1380.05046
Imran, Muhammad; Baig, A. Q.; Rashid, Saima; Semaničová-Feňovčíková, Andrea |
|
2018
|
Computing the upper bounds for the metric dimension of cellulose network. Zbl 1431.05057
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Hussain, Muhammad |
|
2019
|
Weak total resolving sets in graphs. Zbl 1427.05069
Javaid, I.; Salman, M.; Murtaza, M.; Iftikhar, F.; Imran, M. |
|
2019
|
Sufficiency criteria for \(q\)-starlike functions associated with cardioid. Zbl 1468.30037
Zainab, Saira; Shakeel, Ayesha; Imran, Muhammad; Muhammad, Nazeer; Naz, Hira; Malik, Sarfraz Nawaz; Arif, Muhammad |
|
2021
|
On vertex covering number of rotationally-symmetric graphs. Zbl 1339.05314
Imran, Muhammad; Naeem, Muhammad; Baig, A. Q. |
|
2015
|
Calcium dynamics in dendritic spines: a link to structural plasticity. Zbl 1211.92005
Dur-e-Ahmad, M.; Imran, M.; Gul, Asiya |
|
2011
|
On the metric dimension of convex polytopes. Zbl 1301.05104
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. G. |
|
2013
|
On intuitionistic fuzzy \(\Gamma\)-ideals of \(\Gamma\)-LA-semigroups. Zbl 1302.20073
Abdullah, Saleem; Naeem, Muhammad; Imran, Muhammad |
|
2013
|
Computing topological indices and polynomials for line graphs. Zbl 1401.05071
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Nadeem, Muhammad Faisal |
|
2018
|
Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy. Zbl 1486.26061
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip |
|
2020
|
On the zero forcing number and propagation time of oriented graphs. Zbl 1485.05137
Hayat, Sakander; Siddiqui, Hafiz Muhammad Afzal; Imran, Muhammad; Ikhlaq, Hafiz Muhammad; Cao, Jinde |
|
2021
|
Bounds on the domination number and the metric dimension of co-normal product of graphs. Zbl 1498.05085
Javaid, Imran; ur Rehman, Shahid; Imran, Muhammad |
|
2018
|
On some bounds of the topological indices of generalized Sierpiński and extended Sierpiński graphs. Zbl 1499.05131
Javaid, Imran; Benish, Hira; Imran, Muhammad; Khan, Amna; Ullah, Zafar |
|
2019
|
Permutation labeling of graphs. Zbl 1252.05190
Baig, A. Q.; Imran, M. |
|
2012
|
Minimal doubly resolving sets of antiprism and Möbius ladders. Zbl 1499.05200
Sultan, Saba; Baca, Martin; Ahmad, Ali; Imran, Muhammad |
|
2022
|
Topological properties of face-centred cubic lattice. Zbl 1488.05122
Siddiqui, Muhammad Kamran; Imran, Muhammad; Saeed, Muhammad |
|
2020
|
Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model. Zbl 1495.76007
Imran, M.; Abbas, Z.; Naveed, M. |
|
2021
|
On the first general Zagreb eccentricity index. Zbl 1484.05049
Jamil, Muhammad Kamran; Imran, Muhammad; Javed, Aisha; Hasni, Roslan |
|
2021
|
On the eccentric connectivity polynomial of \(\mathcal{F}\)-sum of connected graphs. Zbl 1441.05126
Imran, Muhammad; Akhter, Shehnaz; Iqbal, Zahid |
|
2020
|
An inventory management for global supply chain through reworking of defective items having positive inventory level under multi-trade-credit-period. Zbl 1494.90015
Ahmed, Waqas; Jalees, Muhammad; Omair, Muhammad; Mukhtar, Zainab; Imran, Muhammad |
|
2022
|
Super edge-magic deficiency of graphs. Zbl 1264.05117
Baig, A. Q.; Imran, M.; Semaničová-Feňovčíková, Andrea; Javaid, I. |
|
2012
|
Total vertex irregularity strength of generalized prism graphs. Zbl 1496.05161
Imran, Muhammad; Ahmad, Ali; Siddiqui, Muhammad Kamran; Mehmood, Tariq |
|
2022
|
Optimal control strategies for the reliable and competitive mathematical analysis of Covid-19 pandemic model. Zbl 1538.34167
Butt, Azhar Iqbal Kashif; Imran, Muhammad; Chamaleen, D. B. D.; Batool, Saira |
|
2023
|
Feedback control for random, linear hyperbolic balance laws. Zbl 1498.93762
Bambach, Markus; Gerster, Stephan; Herty, Michael; Imran, Muhammad |
|
2022
|
Sombor index and eigenvalues of comaximal graphs of commutative rings. Zbl 1533.05169
Rather, Bilal Ahmad; Imran, Muhammed; Pirzada, S. |
|
2024
|
On Laplacian integrability of comaximal graphs of commutative rings. Zbl 1536.05306
Rather, Bilal Ahmad; Aouchiche, Mustapha; Imran, Muhammed |
|
2024
|
Hidden stabilizers, the isogeny to endomorphism ring problem and the cryptanalysis of pSIDH. Zbl 07904167
Chen, Mingjie; Imran, Muhammad; Ivanyos, Gábor; Kutas, Péter; Leroux, Antonin; Petit, Christophe |
|
2023
|
Sombor index and eigenvalues of comaximal graphs of commutative rings. Zbl 1533.05169
Rather, Bilal Ahmad; Imran, Muhammed; Pirzada, S. |
|
2024
|
On Laplacian integrability of comaximal graphs of commutative rings. Zbl 1536.05306
Rather, Bilal Ahmad; Aouchiche, Mustapha; Imran, Muhammed |
|
2024
|
A note on energy and Sombor energy of graphs. Zbl 1505.92294
Rather, Bilal Ahmad; Imran, Muhammad |
|
2023
|
Robust nonlinear observer-based controller design for one-sided Lipschitz switched systems with time-varying delays. Zbl 1507.93070
Iqbal, Waseem; Ghous, Imran; Ansari, Ejaz Ahmad; Duan, Zhaoxia; Imran, Muhammad; Khan, Asim Ali; Humayun, Mirza Tariq |
|
2023
|
Dynamics of melting heat transfer in thermally developed and chemically reactive flow of Eyring-Powell liquid through a curved channel. Zbl 1533.76123
Naveed, M.; Imran, M.; Akhtar, S.; Abbas, Z.; Ullah, S. |
|
2023
|
Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models. Zbl 1520.93086
Imran, Muhammad; Imran, Muhammad |
|
2023
|
Optimal control strategies for the reliable and competitive mathematical analysis of Covid-19 pandemic model. Zbl 1538.34167
Butt, Azhar Iqbal Kashif; Imran, Muhammad; Chamaleen, D. B. D.; Batool, Saira |
|
2023
|
Hidden stabilizers, the isogeny to endomorphism ring problem and the cryptanalysis of pSIDH. Zbl 07904167
Chen, Mingjie; Imran, Muhammad; Ivanyos, Gábor; Kutas, Péter; Leroux, Antonin; Petit, Christophe |
|
2023
|
Sharp bounds on the Sombor energy of graphs. Zbl 1505.92293
Rather, Bilal Ahmad; Imran, Muhammad |
|
2022
|
Development of time-limited model reduction technique for one-dimensional and two-dimensional systems with error bound via balanced structure. Zbl 07566321
Imran, Muhammad; Imran, Muhammad |
|
2022
|
Model order reduction framework for discrete-time systems with error bound via balanced structure. Zbl 1504.93042
Imran, Muhammad; Imran, Muhammad |
|
2022
|
Minimal doubly resolving sets of antiprism and Möbius ladders. Zbl 1499.05200
Sultan, Saba; Baca, Martin; Ahmad, Ali; Imran, Muhammad |
|
2022
|
An inventory management for global supply chain through reworking of defective items having positive inventory level under multi-trade-credit-period. Zbl 1494.90015
Ahmed, Waqas; Jalees, Muhammad; Omair, Muhammad; Mukhtar, Zainab; Imran, Muhammad |
|
2022
|
Total vertex irregularity strength of generalized prism graphs. Zbl 1496.05161
Imran, Muhammad; Ahmad, Ali; Siddiqui, Muhammad Kamran; Mehmood, Tariq |
|
2022
|
Feedback control for random, linear hyperbolic balance laws. Zbl 1498.93762
Bambach, Markus; Gerster, Stephan; Herty, Michael; Imran, Muhammad |
|
2022
|
Computing forgotten topological index of extremal cactus chains. Zbl 1514.05038
Cancan, Murat; Imran, Muhammad; Akhter, Shehnaz; Siddiqui, Muhammad Kamran; Hanif, Muhammad Farhan |
|
2021
|
Sufficiency criteria for \(q\)-starlike functions associated with cardioid. Zbl 1468.30037
Zainab, Saira; Shakeel, Ayesha; Imran, Muhammad; Muhammad, Nazeer; Naz, Hira; Malik, Sarfraz Nawaz; Arif, Muhammad |
|
2021
|
On the zero forcing number and propagation time of oriented graphs. Zbl 1485.05137
Hayat, Sakander; Siddiqui, Hafiz Muhammad Afzal; Imran, Muhammad; Ikhlaq, Hafiz Muhammad; Cao, Jinde |
|
2021
|
Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model. Zbl 1495.76007
Imran, M.; Abbas, Z.; Naveed, M. |
|
2021
|
On the first general Zagreb eccentricity index. Zbl 1484.05049
Jamil, Muhammad Kamran; Imran, Muhammad; Javed, Aisha; Hasni, Roslan |
|
2021
|
The eccentric based Zagreb indices of carbon graphite. Zbl 1482.05051
Khalaf, Abdul Jalil M.; Baig, Abdul Qudair; Azhar, Muhammad Razwan; Imran, Muhammad; Farahani, Mohammad Reza |
|
2020
|
Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy. Zbl 1503.26077
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip |
|
2020
|
Edge irregularity strength of certain families of comb graph. Zbl 1452.05166
Zhang, Xiujun; Cancan, Murat; Nadeem, Muhammad Faisal; Imran, Muhammad |
|
2020
|
Extremal \(k\)-generalized quasi trees for general sum-connectivity index. Zbl 1513.05216
Jamil, Muhammad Kamran; Tomescu, Ioan; Imran, Muhammad |
|
2020
|
Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy. Zbl 1486.26061
Siddique, Nouman; Imran, Muhammad; Khan, Khuram Ali; Pečarić, Josip |
|
2020
|
Topological properties of face-centred cubic lattice. Zbl 1488.05122
Siddiqui, Muhammad Kamran; Imran, Muhammad; Saeed, Muhammad |
|
2020
|
On the eccentric connectivity polynomial of \(\mathcal{F}\)-sum of connected graphs. Zbl 1441.05126
Imran, Muhammad; Akhter, Shehnaz; Iqbal, Zahid |
|
2020
|
On Wiener index and Wiener polarity index of some polyomino chains. Zbl 1495.05035
Ahmad, Sarfraz; Siddiqui, Hafiz Muhammad Afzal; Ali, Arfan; Farahani, Mohammad R.; Imran, Muhammad; Cangul, Ismail Naci |
|
2019
|
Topological properties of benzenoid, phenylenes and nanostar dendrimers. Zbl 1495.05046
Imran, Muhammad; Siddiqui, Muhammad Kamran; Ahmad, Sarfraz; Hanif, Muhammad Farhan; Muhammad, Mehwish Hussain; Farahani, Mohammad Reza |
|
2019
|
Eccentricity based topological indices of honeycomb networks. Zbl 1495.05044
Imran, Muhammad; Abunamous, Amna A. E.; Adi, Dana; Rafique, Sadia Hafa; Baig, Abdul Qudair; Farahani, Mohammad Reza |
|
2019
|
Modified eccentric descriptors of crystal cubic carbon. Zbl 1495.05045
Imran, Muhammad; Naeem, Muhammad; Baig, Abdul Qadair; Siddiqui, Muhammad Kamran; Zahid, Manzoor A.; Gao, Wei |
|
2019
|
Resolvability and fault-tolerant resolvability structures of convex polytopes. Zbl 1433.05104
Siddiqui, Hafiz Muhammad Afzal; Hayat, Sakander; Khan, Asad; Imran, Muhammad; Razzaq, Ayesha; Liu, Jia-Bao |
|
2019
|
Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers. Zbl 1428.05087
Siddiqui, Muhammad Kamran; Imran, Muhammad; Iqbal, Muhammad Azhar |
|
2019
|
Gutman index of some derived graphs. Zbl 1425.05043
Ali, Bahadur; Imran, Muhammad; Malik, M. Aslam; Siddiqui, Hafiz Muhammad Afzal; Bilal, Ahsan; Farahani, Mohammad Reza |
|
2019
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On topological properties of hexagonal and silicate networks. Zbl 1471.05102
Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad Reza; Javaid, Imran |
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2019
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Computing the upper bounds for the metric dimension of cellulose network. Zbl 1431.05057
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Hussain, Muhammad |
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2019
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Weak total resolving sets in graphs. Zbl 1427.05069
Javaid, I.; Salman, M.; Murtaza, M.; Iftikhar, F.; Imran, M. |
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2019
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On some bounds of the topological indices of generalized Sierpiński and extended Sierpiński graphs. Zbl 1499.05131
Javaid, Imran; Benish, Hira; Imran, Muhammad; Khan, Amna; Ullah, Zafar |
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2019
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On topological indices of honeycomb networks and graphene networks. Zbl 1396.05107
Akhter, Shehnaz; Imran, Muhammad; Gao, Wei; Farahani, Mohammad Reza |
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2018
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Eccentricity based topological indices of an oxide network. Zbl 1524.05050
Imran, Muhammad; Siddiqui, Muhammad Kamran; Abunamous, Amna A. E.; Adi, Dana; Rafique, Saida Hafsa; Baig, Abdul Qudair |
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2018
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Computing topological polynomials of mesh-derived networks. Zbl 1404.92225
Imran, Muhammad; Baig, Abdul Qudair; ur Rehman, Shafiq; Ali, Haidar; Hasni, Roslan |
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2018
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Computing the metric dimension of gear graphs. Zbl 1423.05056
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Hussain, Muhammad; Bilal, Hafiz Muhammad; Cheema, Imran Zulfiqar; Tabraiz, Ali; Saleem, Zeeshan |
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2018
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On metric dimensions of symmetric graphs obtained by rooted product. Zbl 1515.05067
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Hussain, Muhammad |
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2018
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Order divisor graphs of finite groups. Zbl 1438.05124
Rehman, S. U.; Baig, A. Q.; Imran, M.; Khan, Z. U. |
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2018
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On topological indices of fractal and Cayley tree type dendrimers. Zbl 1417.05231
Imran, Muhammad; Baig, Abdul Qudair; Khalid, Waqas |
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2018
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The eccentric version of atom-bond connectivity index of tetra sheet networks. Zbl 1400.05137
Imran, Muhammad; Baig, Abdul Qudair; Azhar, Muhammad Razwan |
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2018
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On the metric dimension and diameter of circulant graphs with three jumps. Zbl 1380.05046
Imran, Muhammad; Baig, A. Q.; Rashid, Saima; Semaničová-Feňovčíková, Andrea |
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2018
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Computing topological indices and polynomials for line graphs. Zbl 1401.05071
Imran, Shahid; Siddiqui, Muhammad Kamran; Imran, Muhammad; Nadeem, Muhammad Faisal |
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2018
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Bounds on the domination number and the metric dimension of co-normal product of graphs. Zbl 1498.05085
Javaid, Imran; ur Rehman, Shahid; Imran, Muhammad |
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2018
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Computing the forgotten topological index of four operations on graphs. Zbl 1372.05038
Akhter, Shehnaz; Imran, Muhammad |
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2017
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Extremal unicyclic and bicyclic graphs with respect to the \(F\)-index. Zbl 1372.05039
Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad Reza |
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2017
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On topological properties of Sierpinski networks. Zbl 1372.92121
Imran, Muhammad; Sabeel-e-Hafi; Gao, Wei; Reza Farahani, Mohammad |
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2017
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Bounds for the general sum-connectivity index of composite graphs. Zbl 1360.05030
Akhter, Shehnaz; Imran, Muhammad; Raza, Zahid |
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2017
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Sharp bounds for the general sum-connectivity indices of transformation graphs. Zbl 1401.05160
Wang, Haiying; Liu, Jia-Bao; Wang, Shaohui; Gao, Wei; Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad R. |
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2017
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On the bounds of degree-based topological indices of the Cartesian product of \(F\)-sum of connected graphs. Zbl 1381.92107
Imran, Muhammad; Baby, Shakila; Siddiqui, Hafiz Muhammad Afzal; Shafiq, Muhammad Kashif |
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2017
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On resolvability and exchange property in antiweb-wheels. Zbl 1383.05082
Naeem, Rishi; Imran, Muhammad |
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2017
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Degree-based topological indices of double graphs and strong double graphs. Zbl 1386.05187
Imran, Muhammad; Akhter, Shehnaz |
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2017
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On Zagreb indices, Zagreb polynomials of some nanostar dendrimers. Zbl 1410.05058
Siddiqui, Muhammad Kamran; Imran, Muhammad; Ahmad, Ali |
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2016
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The sharp bounds on general sum-connectivity index of four operations on graphs. Zbl 1346.05242
Akhter, Shehnaz; Imran, Muhammad |
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2016
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Computing the metric dimension of convex polytopes generated by wheel related graphs. Zbl 1389.05029
Imran, M.; Siddiqui, H. M. A. |
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2016
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On the general sum-connectivity index and general Randić index of cacti. Zbl 1351.05131
Akhter, Shehnaz; Imran, Muhammad; Raza, Zahid |
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2016
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On the metric dimension of rotationally-symmetric graphs. Zbl 1413.05080
Imran, Muhammad; Baig, A. Q.; Bokhary, Syed Ahtsham Ul Haq |
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2016
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On the metric dimension of barycentric subdivision of Cayley graphs. Zbl 1410.05047
Imran, Muhammad |
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2016
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On the metric dimension of rotationally-symmetric convex polytopes. Zbl 1428.52018
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. |
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2016
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On the metric dimension of barycentric subdivision of Cayley graphs \(\mathrm{Cay}(Z_{n}\oplus Z_{m})\). Zbl 1349.05082
Ahmad, A.; Imran, M.; Al-Mushayt, O.; Bokhary, S. A. U. H. |
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2016
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On topological properties of poly honeycomb networks. Zbl 1399.05061
Imran, Muhammad; Baig, Abdul Qudair; Ali, Haidar; Ur Rehman, Shafiq |
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2016
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On metric dimension of convex polytopes with pendant edges. Zbl 1424.05067
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q.; Tomescu, Ioan |
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2016
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On super edge-magic deficiency of volvox and dumbbell graphs. Zbl 1348.05106
Imran, Muhammad; Afzal, Hafiz Usman; Baig, A. Q. |
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2016
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Super \(d\)-antimagic labeling of uniform subdivision of wheel. Zbl 1349.05292
Imran, Muhammad; Siddiqui, Muhammad Kamran; Numan, Muhammad |
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2015
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On vertex covering number of rotationally-symmetric graphs. Zbl 1339.05314
Imran, Muhammad; Naeem, Muhammad; Baig, A. Q. |
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2015
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Computation of topological indices of certain networks. Zbl 1334.05160
Hayat, Sakander; Imran, Muhammad |
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2014
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Computing the metric dimension of wheel related graphs. Zbl 1334.05133
Afzal Siddiqui, Hafiz Muhammad; Imran, Muhammad |
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2014
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On topological indices of certain interconnection networks. Zbl 1335.05169
Imran, Muhammad; Hayat, Sakander; Mailk, Muhammad Yasir Hayat |
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2014
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On metric dimension of generalized Petersen graphs \(P(n,3)\). Zbl 1349.05090
Imran, Muhammad; Baig, A. Q.; Shafiq, M. K.; Tomecu, Ioan |
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2014
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On resolvability in double-step circulant graphs. Zbl 1313.05091
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq |
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2014
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Super edge-magic labeling of volvox and pancyclic graphs. Zbl 1293.05330
Baig, A. Q.; Afzal, Hafiz U.; Imran, M.; Javaid, I. |
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2014
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New classes of convex polytopes with constant metric dimension. Zbl 1310.05077
Imran, Muhammad; Baig, A. Q.; Bokhary, S. A.; Baskoro, E. T. |
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2014
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On classes of regular graphs with constant metric dimension. Zbl 1289.05125
Imran, Muhammad; Bokhary, Syed Ahtsham ul Haq; Ahmad, Ali; Semaničová-Feňovčíková, Andrea |
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2013
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Classes of convex polytopes with constant metric dimension. Zbl 1273.05123
Imran, Muhammad; Baig, A. Q.; Shafiq, M. K.; Semaničová-Feňovčíková, Andrea |
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2013
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On metric dimension of flower graphs \(f_{n \times m}\) and convex polytopes. Zbl 1293.05081
Imran, Muhammad; Bashir, Fozia; Baig, A. Q.; Ul Haq Bokhary, Syed Ahtsham; Riasat, Ayesha; Tomescu, Ioan |
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2013
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Vertex irregular total labeling of cubic graphs. Zbl 1300.05272
Ahmad, Ali; ul Haq Bokhary, Syed Ahtsham; Imran, Muhammad; Baig, A. Q. |
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2013
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On vertex irregular total labelings of cartesian products of two paths. Zbl 1274.05412
Bokhary, Syed Ahtsham ul Haq; Ahmad, Ali; Imran, M. |
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2013
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On the metric dimension of convex polytopes. Zbl 1301.05104
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. G. |
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2013
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On intuitionistic fuzzy \(\Gamma\)-ideals of \(\Gamma\)-LA-semigroups. Zbl 1302.20073
Abdullah, Saleem; Naeem, Muhammad; Imran, Muhammad |
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2013
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On the metric dimension of circulant graphs. Zbl 1243.05072
Imran, Muhammad; Baig, A. Q.; Bokhary, Syed Ahtsham Ul Haq; Javaid, Imran |
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2012
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Families of plane graphs with constant metric dimension. Zbl 1255.05056
Imran, Muhammad; Baig, A. Q.; Ahmad, Ali |
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2012
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On the metric dimension of Möbius ladders. Zbl 1274.05119
Ali, Murtaza; Ali, Gohar; Imran, Muhammad; Baig, A. Q.; Shafiq, Muhammad Kashif |
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2012
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Families of rotationally-symmetric plane graphs with constant metric dimension. Zbl 1289.05100
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. |
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2012
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An infinite class of convex polytopes with constant metric dimension. Zbl 1253.05065
Imran, Muhammad; Baig, A. Q. |
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2012
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Total vertex irregularity strength of disjoint union of Helm graphs. Zbl 1257.05144
Ahmad, Ali; Baskoro, E. T.; Imran, M. |
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2012
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On super edge-magicness of graphs. Zbl 1270.05084
Ahmad, Ali; Baig, A. Q.; Imran, Muhammad |
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2012
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Permutation labeling of graphs. Zbl 1252.05190
Baig, A. Q.; Imran, M. |
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2012
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Super edge-magic deficiency of graphs. Zbl 1264.05117
Baig, A. Q.; Imran, M.; Semaničová-Feňovčíková, Andrea; Javaid, I. |
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2012
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Metric dimension and \(R\)-sets of connected graphs. Zbl 1235.05046
Tomescu, Ioan; Imran, Muhammad |
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2011
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A special class of convex polytopes with constant metric dimension. Zbl 1234.05071
Imran, M.; Baig, A. Q. |
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2011
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Calcium dynamics in dendritic spines: a link to structural plasticity. Zbl 1211.92005
Dur-e-Ahmad, M.; Imran, M.; Gul, Asiya |
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2011
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On families of convex polytopes with constant metric dimension. Zbl 1205.05067
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. |
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2010
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On metric and partition dimensions of some infinite regular graphs. Zbl 1199.05257
Tomescu, Ioan; Imran, Muhammad |
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2009
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