×
Edit Profile (opens in new tab)

Gavrilyuk, Alexander L.

Co-Author Distance
Author ID: gavrilyuk.alexander-l Recent zbMATH articles by "Gavrilyuk, Alexander L."
Published as: Gavrilyuk, Alexander L.; Gavrilyuk, A. L.
Documents Indexed: 55 Publications since 2005, including 7 Additional arXiv Preprints
Co-Authors: 36 Co-Authors with 46 Joint Publications
1,122 Co-Co-Authors
all top 5

Co-Authors

8 single-authored
16 Makhnëv, Aleksandr Alekseevich
6 Koolen, Jack H.
4 Goryainov, Sergey Viktorovich
4 Ponomarenko, Ilya Nikolaevich
3 Kabanov, Vladislav Vladimirovich
3 Mogilnykh, Ivan Yurevich
3 Suda, Sho
2 Matkin, Ilia
2 Metsch, Klaus
2 Munemasa, Akihiro
2 Paduchikh, Dmitriĭ Viktorovich
1 Abiad, Aida
1 Bailey, Rosemary A.
1 Bang, Sejeong
1 Cai, Jinzhuan
1 Cameron, Peter Jephson
1 Cheng, Ximing
1 Evans, Rhys J.
1 Garber, Alexeĭ Igorevich
1 Greaves, Gary
1 Guo, Jin
1 Guo, Jin
1 Guo, Wenbin
1 Hirasaka, Mitsugu
1 Khramova, Antonina Pavlovna
1 Khramtsov, Igor V.
1 Kondrat’ev, Anatoliĭ Semenovich
1 Magazinov, Alexander Nikolaevich
1 Maslova, Natal’ya Vladimirovna
1 Nedela, Roman
1 Pavese, Francesco
1 Penttila, Tim
1 Sano, Yoshio
1 Taniguchi, Tetsuji
1 Vidali, Janoš
1 Viladi, Janoš
1 Vorob’ev, Konstantin Vasil’evich
1 Williford, Jason S.
all top 5

Serials

10 Doklady Mathematics
5 Designs, Codes and Cryptography
4 Mathematical Notes
3 European Journal of Combinatorics
3 Linear Algebra and its Applications
3 Journal of Combinatorial Designs
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Combinatorica
2 Graphs and Combinatorics
2 Proceedings of the Steklov Institute of Mathematics
1 Algebra i Logika
1 Bulletin of the London Mathematical Society
1 Journal of Combinatorial Theory. Series A
1 Journal of Graph Theory
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Discrete & Computational Geometry
1 SIAM Journal on Discrete Mathematics
1 Discrete Mathematics and Applications
1 The Electronic Journal of Combinatorics
1 Ars Mathematica Contemporanea
1 Arabian Journal of Mathematics
all top 5

Fields

43 Combinatorics (05-XX)
8 Geometry (51-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

38 Publications have been cited 273 times in 210 Documents Cited by ▼ Year ▼
On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\). Zbl 1250.05059
Gavrilyuk, A. L.; Makhnev, A. A.
51
2010
Biregular graphs with three eigenvalues. Zbl 1335.05107
Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H.
27
2016
A modular equality for Cameron-Liebler line classes. Zbl 1302.51008
Gavrilyuk, Alexander L.; Metsch, Klaus
24
2014
On perfect 2-colorings of Johnson graphs \(J(v, 3)\). Zbl 1266.05033
Gavrilyuk, Alexander L.; Goryainov, Sergey V.
22
2013
Cameron-Liebler line classes in \(PG(n,4)\). Zbl 1305.51008
Gavrilyuk, Alexander L.; Mogilnykh, Ivan Yu.
16
2014
Derivation of Cameron-Liebler line classes. Zbl 1393.51003
Gavrilyuk, Alexander L.; Matkin, Ilia; Penttila, Tim
14
2018
The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces. Zbl 1316.52019
Garber, A.; Gavrilyuk, A.; Magazinov, A.
11
2015
On Krein graphs without triangles. Zbl 1126.05102
Gavrilyuk, A. L.; Makhnev, A. A.
11
2005
A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\). Zbl 1438.05241
Gavrilyuk, Alexander L.; Koolen, Jack H.
11
2019
On graphs in which the neighborhood of each vertex is isomorphic to the Gewirtz graph. Zbl 1285.05128
Gavrilyuk, A. L.; Makhnev, A. A.; Paduchikh, D. V.
10
2009
On distance-regular graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph. Zbl 1285.05153
Gavrilyuk, A. L.; Makhnev, A. A.
8
2009
Distance-regular graph with the intersection array \(\{45, 30, 7; 1, 2, 27\}\) does not exist. Zbl 1311.05050
Gavrilyuk, A. L.; Makhnev, A. A.
7
2013
On realizability of a graph as the prime graph of a finite group. Zbl 1328.05084
Gavrilyuk, A. L.; Khramtsov, I. V.; Kondrat’ev, A. S.; Maslova, N. V.
7
2014
The Terwilliger polynomial of a \(Q\)-polynomial distance-regular graph and its application to pseudo-partition graphs. Zbl 1303.05214
Gavrilyuk, Alexander L.; Koolen, Jack H.
6
2015
Geodesic graphs with homogeneity conditions. Zbl 1250.05038
Gavrilyuk, A. L.; Makhnev, A. A.
6
2008
Equitable partitions of Latin-Square graphs. Zbl 1421.05024
Bailey, R. A.; Cameron, Peter J.; Gavrilyuk, Alexander L.; Goryainov, Sergey V.
6
2019
Cameron-Liebler line classes in \(\mathrm{PG}(3, 5)\). Zbl 1415.51008
Gavrilyuk, Alexander L.; Matkin, Ilia
5
2018
Terwilliger graphs in which the neighborhood of some vertex is isomorphic to a Petersen graph. Zbl 1287.05127
Gavrilyuk, A. L.; Makhnev, A. A.
5
2008
On few-class \(Q\)-polynomial association schemes: feasible parameters and nonexistence results. Zbl 1483.05203
Gavrilyuk, Alexander L.; Vidali, Janoš; Williford, Jason S.
4
2021
On the Koolen-Park inequality and Terwilliger graphs. Zbl 1277.05173
Gavrilyuk, Alexander L.
3
2010
On distance-regular graphs in which neighborhoods of vertices are strongly regular. Zbl 1284.05338
Gavrilyuk, A. L.; Makhnev, A. A.; Paduchikh, D. V.
3
2013
On tight 4-designs in Hamming association schemes. Zbl 1463.05541
Gavrilyuk, Alexander L.; Suda, Sho; Viladi, Janoš
3
2020
Automorphisms of Terwilliger graphs with \(\mu=2\). Zbl 1164.05466
Gavrilyuk, A. L.; Guo, Wenbin; Makhnev, A. A.
3
2008
Terwilliger graphs with \(\mu \leq \) 3. Zbl 1219.05200
Gavrilyuk, A. L.; Makhnev, A. A.
3
2007
On the vertex connectivity of Deza graphs. Zbl 1302.05209
Gavrilyuk, A. L.; Goryainov, S. V.; Kabanov, V. V.
2
2014
Distance-regular graphs with intersection arrays \(\{55, 36, 11; 1, 4, 45\}\) and \(\{56, 36, 9; 1, 3, 48\}\) do not exist. Zbl 1283.05232
Gavrilyuk, A. L.
2
2011
Distance-regular graphs with intersection arrays \(\{52, 35, 16; 1, 4, 28\}\) and \(\{69, 48, 24; 1, 4, 46\}\) do not exist. Zbl 1245.05035
Gavrilyuk, Alexander L.; Makhnev, Alexander A.
2
2012
Amply regular graphs and block designs. Zbl 1150.05393
Gavrilyuk, A. L.; Makhnev, A. A.
2
2006
On automorphisms of a strongly regular graph \((784,116,0,20)\). Zbl 1299.05312
Gavrilyuk, A. L.
1
2008
Distance-regular graphs without 4-claws. Zbl 1415.05043
Bang, Sejeong; Gavrilyuk, Alexander L.; Koolen, Jack H.
1
2019
On the regularity problem in Terwilliger graphs. Zbl 1177.05130
Gavrilyuk, A. L.; Makhnev, A. A.
1
2007
On some recent progress in the classification of (\(P\) and \(Q\))-polynomial association schemes. Zbl 1462.05361
Gavrilyuk, Alexander L.; Koolen, Jack H.
1
2021
On tight sets of hyperbolic quadrics. Zbl 1522.51005
Gavrilyuk, Alexander L.
1
2023
Automorphisms of graphs with intersection arrays \(\{60, 45, 8; 1, 12, 50\}\) and \(\{49, 36, 8; 1, 6, 42\}\). Zbl 1369.05054
Gavrilyuk, Alexander L.; Makhnev, A. A.
1
2017
A note on Moore Cayley digraphs. Zbl 1479.05202
Gavrilyuk, Alexander L.; Hirasaka, Mitsugu; Kabanov, Vladislav
1
2021
The Weisfeiler-Leman dimension of distance-hereditary graphs. Zbl 1525.05133
Gavrilyuk, Alexander L.; Nedela, Roman; Ponomarenko, Ilia
1
2023
A modular equality for \(m\)-ovoids of elliptic quadrics. Zbl 1522.51006
Gavrilyuk, Alexander L.; Metsch, Klaus; Pavese, Francesco
1
2023
Signed analogue of line graphs and their smallest eigenvalues. Zbl 1522.05176
Gavrilyuk, Alexander L.; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji
1
2021
On tight sets of hyperbolic quadrics. Zbl 1522.51005
Gavrilyuk, Alexander L.
1
2023
The Weisfeiler-Leman dimension of distance-hereditary graphs. Zbl 1525.05133
Gavrilyuk, Alexander L.; Nedela, Roman; Ponomarenko, Ilia
1
2023
A modular equality for \(m\)-ovoids of elliptic quadrics. Zbl 1522.51006
Gavrilyuk, Alexander L.; Metsch, Klaus; Pavese, Francesco
1
2023
On few-class \(Q\)-polynomial association schemes: feasible parameters and nonexistence results. Zbl 1483.05203
Gavrilyuk, Alexander L.; Vidali, Janoš; Williford, Jason S.
4
2021
On some recent progress in the classification of (\(P\) and \(Q\))-polynomial association schemes. Zbl 1462.05361
Gavrilyuk, Alexander L.; Koolen, Jack H.
1
2021
A note on Moore Cayley digraphs. Zbl 1479.05202
Gavrilyuk, Alexander L.; Hirasaka, Mitsugu; Kabanov, Vladislav
1
2021
Signed analogue of line graphs and their smallest eigenvalues. Zbl 1522.05176
Gavrilyuk, Alexander L.; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji
1
2021
On tight 4-designs in Hamming association schemes. Zbl 1463.05541
Gavrilyuk, Alexander L.; Suda, Sho; Viladi, Janoš
3
2020
A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\). Zbl 1438.05241
Gavrilyuk, Alexander L.; Koolen, Jack H.
11
2019
Equitable partitions of Latin-Square graphs. Zbl 1421.05024
Bailey, R. A.; Cameron, Peter J.; Gavrilyuk, Alexander L.; Goryainov, Sergey V.
6
2019
Distance-regular graphs without 4-claws. Zbl 1415.05043
Bang, Sejeong; Gavrilyuk, Alexander L.; Koolen, Jack H.
1
2019
Derivation of Cameron-Liebler line classes. Zbl 1393.51003
Gavrilyuk, Alexander L.; Matkin, Ilia; Penttila, Tim
14
2018
Cameron-Liebler line classes in \(\mathrm{PG}(3, 5)\). Zbl 1415.51008
Gavrilyuk, Alexander L.; Matkin, Ilia
5
2018
Automorphisms of graphs with intersection arrays \(\{60, 45, 8; 1, 12, 50\}\) and \(\{49, 36, 8; 1, 6, 42\}\). Zbl 1369.05054
Gavrilyuk, Alexander L.; Makhnev, A. A.
1
2017
Biregular graphs with three eigenvalues. Zbl 1335.05107
Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H.
27
2016
The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces. Zbl 1316.52019
Garber, A.; Gavrilyuk, A.; Magazinov, A.
11
2015
The Terwilliger polynomial of a \(Q\)-polynomial distance-regular graph and its application to pseudo-partition graphs. Zbl 1303.05214
Gavrilyuk, Alexander L.; Koolen, Jack H.
6
2015
A modular equality for Cameron-Liebler line classes. Zbl 1302.51008
Gavrilyuk, Alexander L.; Metsch, Klaus
24
2014
Cameron-Liebler line classes in \(PG(n,4)\). Zbl 1305.51008
Gavrilyuk, Alexander L.; Mogilnykh, Ivan Yu.
16
2014
On realizability of a graph as the prime graph of a finite group. Zbl 1328.05084
Gavrilyuk, A. L.; Khramtsov, I. V.; Kondrat’ev, A. S.; Maslova, N. V.
7
2014
On the vertex connectivity of Deza graphs. Zbl 1302.05209
Gavrilyuk, A. L.; Goryainov, S. V.; Kabanov, V. V.
2
2014
On perfect 2-colorings of Johnson graphs \(J(v, 3)\). Zbl 1266.05033
Gavrilyuk, Alexander L.; Goryainov, Sergey V.
22
2013
Distance-regular graph with the intersection array \(\{45, 30, 7; 1, 2, 27\}\) does not exist. Zbl 1311.05050
Gavrilyuk, A. L.; Makhnev, A. A.
7
2013
On distance-regular graphs in which neighborhoods of vertices are strongly regular. Zbl 1284.05338
Gavrilyuk, A. L.; Makhnev, A. A.; Paduchikh, D. V.
3
2013
Distance-regular graphs with intersection arrays \(\{52, 35, 16; 1, 4, 28\}\) and \(\{69, 48, 24; 1, 4, 46\}\) do not exist. Zbl 1245.05035
Gavrilyuk, Alexander L.; Makhnev, Alexander A.
2
2012
Distance-regular graphs with intersection arrays \(\{55, 36, 11; 1, 4, 45\}\) and \(\{56, 36, 9; 1, 3, 48\}\) do not exist. Zbl 1283.05232
Gavrilyuk, A. L.
2
2011
On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\). Zbl 1250.05059
Gavrilyuk, A. L.; Makhnev, A. A.
51
2010
On the Koolen-Park inequality and Terwilliger graphs. Zbl 1277.05173
Gavrilyuk, Alexander L.
3
2010
On graphs in which the neighborhood of each vertex is isomorphic to the Gewirtz graph. Zbl 1285.05128
Gavrilyuk, A. L.; Makhnev, A. A.; Paduchikh, D. V.
10
2009
On distance-regular graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph. Zbl 1285.05153
Gavrilyuk, A. L.; Makhnev, A. A.
8
2009
Geodesic graphs with homogeneity conditions. Zbl 1250.05038
Gavrilyuk, A. L.; Makhnev, A. A.
6
2008
Terwilliger graphs in which the neighborhood of some vertex is isomorphic to a Petersen graph. Zbl 1287.05127
Gavrilyuk, A. L.; Makhnev, A. A.
5
2008
Automorphisms of Terwilliger graphs with \(\mu=2\). Zbl 1164.05466
Gavrilyuk, A. L.; Guo, Wenbin; Makhnev, A. A.
3
2008
On automorphisms of a strongly regular graph \((784,116,0,20)\). Zbl 1299.05312
Gavrilyuk, A. L.
1
2008
Terwilliger graphs with \(\mu \leq \) 3. Zbl 1219.05200
Gavrilyuk, A. L.; Makhnev, A. A.
3
2007
On the regularity problem in Terwilliger graphs. Zbl 1177.05130
Gavrilyuk, A. L.; Makhnev, A. A.
1
2007
Amply regular graphs and block designs. Zbl 1150.05393
Gavrilyuk, A. L.; Makhnev, A. A.
2
2006
On Krein graphs without triangles. Zbl 1126.05102
Gavrilyuk, A. L.; Makhnev, A. A.
11
2005
all cited Publications top 5 cited Publications
all top 5

Cited by 186 Authors

67 Makhnëv, Aleksandr Alekseevich
21 Gavrilyuk, Alexander L.
20 Paduchikh, Dmitriĭ Viktorovich
12 Koolen, Jack H.
10 Tsiovkina, Ludmila Yur’evna
9 Alaeiyan, Mehdi
8 Belousov, Ivan Nikolaevich
8 Nirova, Marina Sefovna
7 Efimov, Konstantin Sergeevich
7 Metsch, Klaus
6 De Beule, Jan
6 D’haeseleer, Jozefien
6 Mannaert, Jonathan
6 Rowlinson, Peter
5 Ihringer, Ferdinand
5 Pavese, Francesco
5 Storme, Leo
4 Bang, Sejeong
4 De Boeck, Maarten
4 Golubyatnikov, Mikhaĭl Petrovich
4 Huang, Qiongxiang
4 Mogilnykh, Ivan Yurevich
4 Stanić, Zoran
4 Švob, Andrea
4 Wu, Baoyindureng
3 Bitkina, Viktoriya Vasil’evna
3 Burichenko, Vladimir P.
3 Cossidente, Antonio
3 Guo, Wenbin
3 Huang, Xueyi
3 Kabanov, Vladislav Vladimirovich
3 Karami, Hamed
3 Kondrat’ev, Anatoliĭ Semenovich
3 Mehrabani, Ayoob
3 Rodgers, Morgan
3 Suda, Sho
3 Tokbaeva, Albina Aniuarovna
3 Vorob’ev, Konstantin Vasil’evich
3 Zhang, Bo
3 Zhou, Sanming
3 Zyulyarkina, Natal’ya Dmitrievna
2 Bannai, Eiichi
2 Cameron, Peter Jephson
2 Cheng, Ximing
2 del Río, Angel
2 Feng, Tao
2 Geng, Zihao
2 Greaves, Gary
2 Guo, Jiming
2 Guo, Jun
2 Gutnova, Alina Kazbekovna
2 Hayat, Sakander
2 Herman, Allen
2 Hou, Yaoping
2 Iqbal, Quaid
2 Khamgokova, Madina Mukhamedovna
2 Krotov, Denis S.
2 Li, Shuchao
2 Lu, Lu
2 Maleki, Roghayeh
2 Maslova, Natal’ya Vladimirovna
2 Meagher, Karen
2 Momihara, Koji
2 Park, Jongyook
2 Ramezani, Farzaneh
2 Sun, Wanting
2 Tang, Zikai
2 Tian, Fenglei
2 Valyuzhenich, Aleksandr Andreevich
2 Wang, Dijian
2 Wang, Yanpeng
2 Wong, Dein
2 Xia, Binzhou
2 Xiang, Qing
2 Zhu, Yan
1 Abedi, Amirabbas
1 Adm, Mohammad
1 Afton, Santana F.
1 Ageev, P. S.
1 Alaeiyan, Efat
1 Alaeiyan, Mohammadhadi
1 Alekseeva, O. A.
1 Bächle, Andreas
1 Bailey, Rosemary A.
1 Bannai, Etsuko
1 Bergen, Ryan
1 Bespalov, Evgeniĭ Andreevich
1 Blokhuis, Aart
1 Brunetti, Maurizio
1 Cao, Mengyue
1 Cardoso, Domingos Moreira
1 Chen, Mingzhu
1 Chuksina, Natalya Vladimirovna
1 Crnković, Dean
1 da Conceição Ferreira, Dario Jorge
1 Dalfó, Cristina
1 Damasco, Joseph Ray Clarence G.
1 de Abreu, Nair Maria Maia
1 Debón, Sara C.
1 Demeyer, Jeroen
...and 86 more Authors
all top 5

Cited in 60 Serials

31 Doklady Mathematics
19 Proceedings of the Steklov Institute of Mathematics
14 Sibirskie Èlektronnye Matematicheskie Izvestiya
13 Discrete Mathematics
10 Linear Algebra and its Applications
9 Designs, Codes and Cryptography
8 European Journal of Combinatorics
8 Graphs and Combinatorics
6 Journal of Combinatorial Theory. Series A
6 The Electronic Journal of Combinatorics
5 Algebra and Logic
5 Journal of Combinatorial Designs
4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
4 Ars Mathematica Contemporanea
4 Ural Mathematical Journal
3 Discrete Mathematics and Applications
3 Journal of Algebraic Combinatorics
3 Electronic Journal of Graph Theory and Applications
3 Algebraic Combinatorics
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Journal of Algebra
2 Siberian Mathematical Journal
2 Combinatorica
2 Computational and Applied Mathematics
2 Finite Fields and their Applications
2 Applicable Analysis and Discrete Mathematics
2 Journal of Mathematical Research with Applications
2 Mathematical Sciences
1 Discrete Applied Mathematics
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of Statistical Planning and Inference
1 Michigan Mathematical Journal
1 Bulletin of the Iranian Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Russian Mathematics
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Acta Universitatis Matthiae Belii. Series Mathematics
1 Filomat
1 Discussiones Mathematicae. Graph Theory
1 Sbornik: Mathematics
1 ELA. The Electronic Journal of Linear Algebra
1 Advances in Geometry
1 Journal of the Indonesian Mathematical Society
1 AKCE International Journal of Graphs and Combinatorics
1 Contributions to Discrete Mathematics
1 Frontiers of Mathematics in China
1 Armenian Journal of Mathematics
1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
1 Journal of Mathematical Extension
1 Arabian Journal of Mathematics
1 Communications in Mathematics and Statistics
all top 5

Cited in 16 Fields

194 Combinatorics (05-XX)
31 Geometry (51-XX)
21 Group theory and generalizations (20-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
7 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Computer science (68-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)

Citations by Year