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Heuberger, Clemens

Co-Author Distance
Author ID: heuberger.clemens Recent zbMATH articles by "Heuberger, Clemens"
Published as: Heuberger, Clemens; Heuberger, C.
Homepage: http://www.aau.at/~cheuberg
External Links: MGP · ORCID · Wikidata · arXiv
Documents Indexed: 89 Publications since 1998, including 4 Additional arXiv Preprints
4 Contributions as Editor
Reviewing Activity: 73 Reviews
Co-Authors: 35 Co-Authors with 78 Joint Publications
1,092 Co-Co-Authors
all top 5

Co-Authors

15 single-authored
32 Prodinger, Helmut
15 Krenn, Daniel
15 Wagner, Stephan G.
9 Kropf, Sara
6 Hackl, Benjamin
5 Avanzi, Roberto Maria
5 Grabner, Peter J.
4 Tichy, Robert Franz
3 Pethő, Attila
2 Aumüller, Martin
2 Dietzfelbinger, Martin
2 Drmota, Michael
2 Elsholtz, Christian
2 Kaltenbacher, Barbara
2 Lipnik, Gabriel F.
2 Mazzoli, Michela
2 Muir, James A.
2 Pötzsche, Christian
2 Rendl, Franz
2 Rissner, Roswitha
2 Selkirk, Sarah J.
1 Archibald, Margaret
1 Brattka, Vasco
1 Freiberg, Uta Renata
1 Heigl, Florian
1 Katti, Rajendra S.
1 Kirschenhofer, Peter
1 Le, Maohua
1 Lechner, Tobias
1 Rath, Jutta
1 Rijmen, Vincent
1 Ruan, Xiaoyu
1 Thuswaldner, Jörg Maximilian
1 Togbé, Alain
1 Ziegler, Volker
all top 5

Serials

5 Monatshefte für Mathematik
5 Journal of Symbolic Computation
4 Journal of Number Theory
4 Theoretical Computer Science
3 Discrete Mathematics
3 Computing
3 Algorithmica
3 Designs, Codes and Cryptography
3 The Electronic Journal of Combinatorics
2 Periodica Mathematica Hungarica
2 Acta Arithmetica
2 European Journal of Combinatorics
2 Internationale Mathematische Nachrichten
2 Aequationes Mathematicae
2 Journal de Théorie des Nombres de Bordeaux
2 Combinatorics, Probability and Computing
1 IEEE Transactions on Information Theory
1 Glasgow Mathematical Journal
1 Journal of Graph Theory
1 Publicationes Mathematicae Debrecen
1 Quaestiones Mathematicae
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 SIAM Journal on Discrete Mathematics
1 International Journal of Foundations of Computer Science
1 Linear Algebra and its Applications
1 Anzeiger. Abteilung II. Österreichische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Journal of Mathematical Chemistry
1 Journal of Combinatorial Optimization
1 Annals of Combinatorics
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Fundamenta Informaticae
1 Integers
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 International Journal of Number Theory
1 Mathematics in Computer Science
1 Journal of Mathematical Cryptology
1 Applicable Analysis and Discrete Mathematics
1 IFIP Advances in Information and Communication Technology
1 ACM Transactions on Algorithms
1 LIPIcs – Leibniz International Proceedings in Informatics
all top 5

Fields

54 Number theory (11-XX)
34 Computer science (68-XX)
31 Combinatorics (05-XX)
24 Information and communication theory, circuits (94-XX)
16 Probability theory and stochastic processes (60-XX)
9 Algebraic geometry (14-XX)
4 General and overarching topics; collections (00-XX)
3 Operations research, mathematical programming (90-XX)
2 Commutative algebra (13-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Numerical analysis (65-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

76 Publications have been cited 538 times in 373 Documents Cited by ▼ Year ▼
Inverse combinatorial optimization: a survey on problems, methods, and results. Zbl 1084.90035
Heuberger, Clemens
140
2004
On planarity and colorability of circulant graphs. Zbl 1028.05024
Heuberger, Clemens
41
2003
Maximizing the number of independent subsets over trees with bounded degree. Zbl 1156.05042
Heuberger, Clemens; Wagner, Stephan G.
20
2008
Distribution results for low-weight binary representations for pairs of integers. Zbl 1050.94009
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
15
2004
On the number of optimal base 2 representations of integers. Zbl 1261.11003
Grabner, Peter J.; Heuberger, Clemens
14
2006
Analysis of alternative digit sets for nonadjacent representations. Zbl 1094.11007
Heuberger, Clemens; Prodinger, Helmut
14
2006
On hamiltonian Toeplitz graphs. Zbl 0988.05061
Heuberger, Clemens
13
2002
Automatic solution of families of Thue equations and an example of degree 8. Zbl 1137.11307
Heuberger, Clemens; Togbé, Alain; Ziegler, Volker
12
2005
Chemical trees minimizing energy and Hosoya index. Zbl 1182.92071
Heuberger, Clemens; Wagner, Stephan G.
12
2009
Complete solution of parametrized Thue equations. Zbl 1024.11017
Heuberger, C.; Pethő, A.; Tichy, R. F.
11
1998
On minimal expansions in redundant number systems: Algorithms and quantitative analysis. Zbl 1030.11003
Heuberger, C.; Prodinger, H.
10
2001
Thomas’ family of Thue equations over imaginary quadratic fields. Zbl 1009.11022
Heuberger, Clemens; Pethő, Attila; Tichy, Robert F.
10
2002
Analysis of linear combination algorithms in cryptography. Zbl 1321.68514
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M.
8
2005
On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\). Zbl 0971.11018
Heuberger, Clemens; Le, Maohua
8
1999
On a conjecture of E. Thomas concerning parametrized Thue equations. Zbl 0973.11043
Heuberger, Clemens
8
2001
Minimality of the Hamming weight of the \(\tau \)-NAF for Koblitz curves and improved combination with point halving. Zbl 1151.94474
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
8
2006
On general families of parametrized Thue equations. Zbl 0963.11019
Heuberger, Clemens
7
2000
Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis. Zbl 1106.94021
Avanzi, Roberto M.; Heuberger, Clemens; Prodinger, Helmut
7
2006
On a class of extremal trees for various indices. Zbl 1274.05094
Heuberger, Clemens; Wagner, Stephan G.
7
2009
The number of maximum matchings in a tree. Zbl 1238.05146
Heuberger, Clemens; Wagner, Stephan
6
2011
Minimal expansions in redundant number systems: Fibonacci bases and greedy algorithms. Zbl 1072.11007
Heuberger, Clemens
6
2004
Analysis of width-\(w\) non-adjacent forms to imaginary quadratic bases. Zbl 1300.11013
Heuberger, Clemens; Krenn, Daniel
6
2013
On a family of quintic Thue equations. Zbl 0915.11017
Heuberger, Clemens
6
1998
Carry propagation in signed digit representations. Zbl 1026.11015
Heuberger, Clemens; Prodinger, Helmut
6
2003
Analysis of bidirectional ballot sequences and random walks ending in their maximum. Zbl 1358.05019
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan
6
2016
Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour. Zbl 1205.11014
Heuberger, Clemens
5
2010
Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication. Zbl 1230.94003
Avanzi, Roberto; Heuberger, Clemens; Prodinger, Helmut
5
2011
Output sum of transducers: limiting distribution and periodic fluctuation. Zbl 1338.60068
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
5
2015
Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases. Zbl 1282.11005
Heuberger, Clemens; Krenn, Daniel
5
2013
Counting optimal joint digit expansions. Zbl 1087.11004
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
5
2005
Hwang’s quasi-power-theorem in dimension two. Zbl 1135.60304
Heuberger, Clemens
5
2007
The height of multiple edge plane trees. Zbl 1337.05055
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan
4
2016
Subblock occurrences in signed digit representations. Zbl 1049.11084
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
4
2003
On the higher dimensional quasi-power theorem and a Berry-Esseen inequality. Zbl 1412.60044
Heuberger, Clemens; Kropf, Sara
4
2016
Counting ascents in generalized Dyck paths. Zbl 1482.05012
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut
4
2018
On \(\alpha \)-greedy expansions of numbers. Zbl 1211.11012
Heuberger, Clemens; Prodinger, Helmut
4
2007
On families of parametrized Thue equations. Zbl 0934.11012
Heuberger, Clemens
4
1999
All solutions to Thomas’ family of Thue equations over imaginary quadratic number fields. Zbl 1158.11016
Heuberger, Clemens
4
2006
On redundant \(\tau\)-adic expansions and non-adjacent digit sets. Zbl 1161.94380
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
4
2007
On explicit bounds for the solutions of a class of parametrized Thue equations of arbitrary degree. Zbl 1009.11023
Heuberger, Clemens
4
2001
Protection number in plane trees. Zbl 1499.05090
Heuberger, Clemens; Prodinger, Helmut
4
2017
Higher dimensional quasi-power theorem and Berry-Esseen inequality. Zbl 1430.60028
Heuberger, Clemens; Kropf, Sara
4
2018
Automata in SageMath – combinatorics meet theoretical computer science. Zbl 1401.68369
Heuberger, Clemens; Krenn, Daniel; Kropf, Sara
4
2016
The alternating greedy expansion and applications to computing digit expansions from left-to-right in cryptography. Zbl 1071.94012
Heuberger, Clemens; Katti, Rajendra; Prodinger, Helmut; Ruan, Xiaoyu
3
2005
Analysis of the binary asymmetric joint sparse form. Zbl 1321.11013
Heuberger, Clemens; Kropf, Sara
3
2014
Asymptotic analysis of regular sequences. Zbl 1476.11018
Heuberger, Clemens; Krenn, Daniel
3
2020
The Hamming weight of the non-adjacent-form under various input statistics. Zbl 1164.11009
Heuberger, Clemens; Prodinger, Helmut
3
2007
Minimal weight and colexicographically minimal integer representations. Zbl 1161.11002
Heuberger, Clemens; Muir, James A.
3
2007
Reductions of binary trees and lattice paths induced by the register function. Zbl 1380.68305
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut
3
2018
The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673
Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut
3
2013
Elliptic curves with isomorphic groups of points over finite field extensions. Zbl 1406.11058
Heuberger, Clemens; Mazzoli, Michela
3
2017
Existence and optimality of \(w\)-non-adjacent forms with an algebraic integer base. Zbl 1289.11004
Heuberger, C.; Krenn, D.
2
2013
Minimal redundant digit expansions in the Gaussian integers. Zbl 1076.11005
Heuberger, Clemens
2
2002
Variances and covariances in the central limit theorem for the output of a transducer. Zbl 1329.68161
Heuberger, Clemens; Kropf, Sara; Wagner, Stephan
2
2015
Dual-pivot quicksort: optimality, analysis and zeros of associated lattice paths. Zbl 1432.68108
Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut
2
2019
Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort. Zbl 1411.68042
Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut
2
2016
Analysis of summatory functions of regular sequences: transducer and Pascal’s rhombus. Zbl 1482.05013
Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut
2
2018
Thomas’ family of Thue equations over imaginary quadratic fields. II. Zbl 1247.11040
Heuberger, Clemens; Pethő, Attila; Tichy, Robert F.
2
2006
Enumeration of generalized Dyck paths based on the height of down-steps modulo \(k\). Zbl 1514.05013
Heuberger, Clemens; Selkirk, Sarah J.; Wagner, Stephan
2
2023
Fringe analysis of plane trees related to cutting and pruning. Zbl 1383.05017
Hackl, Benjamin; Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
2
2018
Computing \(J\)-ideals of a matrix over a principal ideal domain. Zbl 1366.13014
Heuberger, Clemens; Rissner, Roswitha
2
2017
Asymptotic analysis of the sum of the output of transducers. Zbl 1332.68112
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
1
2014
Canonical trees, compact prefix-free codes, and sums of unit fractions: a probabilistic analysis. Zbl 1323.60022
Heuberger, Clemens; Krenn, Daniel; Wagner, Stephan
1
2015
System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Zbl 1304.00054
1
2014
Analysis of digital expansions of minimal weight. Zbl 1296.11005
Heigl, Florian; Heuberger, Clemens
1
2012
Minimal expansions in redundant number systems and shortest paths in graphs. Zbl 0957.11005
Heuberger, C.
1
1999
Positional number systems with digits forming an arithmetic progression. Zbl 1181.11015
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan G.
1
2008
Asymptotics of the extremal values of certain graph parameters in trees with bounded degree. Zbl 1274.05023
Heuberger, Clemens; Wagner, Stephan G.
1
2010
Randomness with respect to the signed-digit representation. Zbl 1147.68029
Archibald, Margaret; Brattka, Vasco; Heuberger, Clemens
1
2008
Unbalanced digit sets and the closest choice strategy for minimal weight integer representations. Zbl 1220.11008
Heuberger, Clemens; Muir, James A.
1
2009
Faster and lower memory scalar multiplication on supersingular curves in characteristic three. Zbl 1292.14039
Avanzi, Roberto; Heuberger, Clemens
1
2011
Asymptotic analysis of \(q\)-recursive sequences. Zbl 1523.11009
Heuberger, Clemens; Krenn, Daniel; Lipnik, Gabriel F.
1
2022
Application of Smirnov words to waiting time distributions of runs. Zbl 1369.05006
Freiberg, Uta; Heuberger, Clemens; Prodinger, Helmut
1
2017
Analysis of parameters of trees corresponding to Huffman codes and sums of unit fractions. Zbl 1433.05077
Heuberger, Clemens; Krenn, Daniel; Wagner, Stephan
1
2013
Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences. Zbl 1429.11038
Heuberger, Clemens; Krenn, Daniel
1
2019
Analysis of carries in signed digit expansions. Zbl 1419.60009
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
1
2017
Enumeration of generalized Dyck paths based on the height of down-steps modulo \(k\). Zbl 1514.05013
Heuberger, Clemens; Selkirk, Sarah J.; Wagner, Stephan
2
2023
Asymptotic analysis of \(q\)-recursive sequences. Zbl 1523.11009
Heuberger, Clemens; Krenn, Daniel; Lipnik, Gabriel F.
1
2022
Asymptotic analysis of regular sequences. Zbl 1476.11018
Heuberger, Clemens; Krenn, Daniel
3
2020
Dual-pivot quicksort: optimality, analysis and zeros of associated lattice paths. Zbl 1432.68108
Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut
2
2019
Esthetic numbers and lifting restrictions on the analysis of summatory functions of regular sequences. Zbl 1429.11038
Heuberger, Clemens; Krenn, Daniel
1
2019
Counting ascents in generalized Dyck paths. Zbl 1482.05012
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut
4
2018
Higher dimensional quasi-power theorem and Berry-Esseen inequality. Zbl 1430.60028
Heuberger, Clemens; Kropf, Sara
4
2018
Reductions of binary trees and lattice paths induced by the register function. Zbl 1380.68305
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut
3
2018
Analysis of summatory functions of regular sequences: transducer and Pascal’s rhombus. Zbl 1482.05013
Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut
2
2018
Fringe analysis of plane trees related to cutting and pruning. Zbl 1383.05017
Hackl, Benjamin; Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
2
2018
Protection number in plane trees. Zbl 1499.05090
Heuberger, Clemens; Prodinger, Helmut
4
2017
Elliptic curves with isomorphic groups of points over finite field extensions. Zbl 1406.11058
Heuberger, Clemens; Mazzoli, Michela
3
2017
Computing \(J\)-ideals of a matrix over a principal ideal domain. Zbl 1366.13014
Heuberger, Clemens; Rissner, Roswitha
2
2017
Application of Smirnov words to waiting time distributions of runs. Zbl 1369.05006
Freiberg, Uta; Heuberger, Clemens; Prodinger, Helmut
1
2017
Analysis of carries in signed digit expansions. Zbl 1419.60009
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
1
2017
Analysis of bidirectional ballot sequences and random walks ending in their maximum. Zbl 1358.05019
Hackl, Benjamin; Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan
6
2016
The height of multiple edge plane trees. Zbl 1337.05055
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan
4
2016
On the higher dimensional quasi-power theorem and a Berry-Esseen inequality. Zbl 1412.60044
Heuberger, Clemens; Kropf, Sara
4
2016
Automata in SageMath – combinatorics meet theoretical computer science. Zbl 1401.68369
Heuberger, Clemens; Krenn, Daniel; Kropf, Sara
4
2016
Counting zeros in random walks on the integers and analysis of optimal dual-pivot quicksort. Zbl 1411.68042
Aumüller, Martin; Dietzfelbinger, Martin; Heuberger, Clemens; Krenn, Daniel; Prodinger, Helmut
2
2016
Output sum of transducers: limiting distribution and periodic fluctuation. Zbl 1338.60068
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
5
2015
Variances and covariances in the central limit theorem for the output of a transducer. Zbl 1329.68161
Heuberger, Clemens; Kropf, Sara; Wagner, Stephan
2
2015
Canonical trees, compact prefix-free codes, and sums of unit fractions: a probabilistic analysis. Zbl 1323.60022
Heuberger, Clemens; Krenn, Daniel; Wagner, Stephan
1
2015
Analysis of the binary asymmetric joint sparse form. Zbl 1321.11013
Heuberger, Clemens; Kropf, Sara
3
2014
Asymptotic analysis of the sum of the output of transducers. Zbl 1332.68112
Heuberger, Clemens; Kropf, Sara; Prodinger, Helmut
1
2014
System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Zbl 1304.00054
1
2014
Analysis of width-\(w\) non-adjacent forms to imaginary quadratic bases. Zbl 1300.11013
Heuberger, Clemens; Krenn, Daniel
6
2013
Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases. Zbl 1282.11005
Heuberger, Clemens; Krenn, Daniel
5
2013
The number of Huffman codes, compact trees, and sums of unit fractions. Zbl 1364.94673
Elsholtz, Christian; Heuberger, Clemens; Prodinger, Helmut
3
2013
Existence and optimality of \(w\)-non-adjacent forms with an algebraic integer base. Zbl 1289.11004
Heuberger, C.; Krenn, D.
2
2013
Analysis of parameters of trees corresponding to Huffman codes and sums of unit fractions. Zbl 1433.05077
Heuberger, Clemens; Krenn, Daniel; Wagner, Stephan
1
2013
Analysis of digital expansions of minimal weight. Zbl 1296.11005
Heigl, Florian; Heuberger, Clemens
1
2012
The number of maximum matchings in a tree. Zbl 1238.05146
Heuberger, Clemens; Wagner, Stephan
6
2011
Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication. Zbl 1230.94003
Avanzi, Roberto; Heuberger, Clemens; Prodinger, Helmut
5
2011
Faster and lower memory scalar multiplication on supersingular curves in characteristic three. Zbl 1292.14039
Avanzi, Roberto; Heuberger, Clemens
1
2011
Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour. Zbl 1205.11014
Heuberger, Clemens
5
2010
Asymptotics of the extremal values of certain graph parameters in trees with bounded degree. Zbl 1274.05023
Heuberger, Clemens; Wagner, Stephan G.
1
2010
Chemical trees minimizing energy and Hosoya index. Zbl 1182.92071
Heuberger, Clemens; Wagner, Stephan G.
12
2009
On a class of extremal trees for various indices. Zbl 1274.05094
Heuberger, Clemens; Wagner, Stephan G.
7
2009
Unbalanced digit sets and the closest choice strategy for minimal weight integer representations. Zbl 1220.11008
Heuberger, Clemens; Muir, James A.
1
2009
Maximizing the number of independent subsets over trees with bounded degree. Zbl 1156.05042
Heuberger, Clemens; Wagner, Stephan G.
20
2008
Positional number systems with digits forming an arithmetic progression. Zbl 1181.11015
Heuberger, Clemens; Prodinger, Helmut; Wagner, Stephan G.
1
2008
Randomness with respect to the signed-digit representation. Zbl 1147.68029
Archibald, Margaret; Brattka, Vasco; Heuberger, Clemens
1
2008
Hwang’s quasi-power-theorem in dimension two. Zbl 1135.60304
Heuberger, Clemens
5
2007
On \(\alpha \)-greedy expansions of numbers. Zbl 1211.11012
Heuberger, Clemens; Prodinger, Helmut
4
2007
On redundant \(\tau\)-adic expansions and non-adjacent digit sets. Zbl 1161.94380
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
4
2007
The Hamming weight of the non-adjacent-form under various input statistics. Zbl 1164.11009
Heuberger, Clemens; Prodinger, Helmut
3
2007
Minimal weight and colexicographically minimal integer representations. Zbl 1161.11002
Heuberger, Clemens; Muir, James A.
3
2007
On the number of optimal base 2 representations of integers. Zbl 1261.11003
Grabner, Peter J.; Heuberger, Clemens
14
2006
Analysis of alternative digit sets for nonadjacent representations. Zbl 1094.11007
Heuberger, Clemens; Prodinger, Helmut
14
2006
Minimality of the Hamming weight of the \(\tau \)-NAF for Koblitz curves and improved combination with point halving. Zbl 1151.94474
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
8
2006
Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis. Zbl 1106.94021
Avanzi, Roberto M.; Heuberger, Clemens; Prodinger, Helmut
7
2006
All solutions to Thomas’ family of Thue equations over imaginary quadratic number fields. Zbl 1158.11016
Heuberger, Clemens
4
2006
Thomas’ family of Thue equations over imaginary quadratic fields. II. Zbl 1247.11040
Heuberger, Clemens; Pethő, Attila; Tichy, Robert F.
2
2006
Automatic solution of families of Thue equations and an example of degree 8. Zbl 1137.11307
Heuberger, Clemens; Togbé, Alain; Ziegler, Volker
12
2005
Analysis of linear combination algorithms in cryptography. Zbl 1321.68514
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M.
8
2005
Counting optimal joint digit expansions. Zbl 1087.11004
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
5
2005
The alternating greedy expansion and applications to computing digit expansions from left-to-right in cryptography. Zbl 1071.94012
Heuberger, Clemens; Katti, Rajendra; Prodinger, Helmut; Ruan, Xiaoyu
3
2005
Inverse combinatorial optimization: a survey on problems, methods, and results. Zbl 1084.90035
Heuberger, Clemens
140
2004
Distribution results for low-weight binary representations for pairs of integers. Zbl 1050.94009
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
15
2004
Minimal expansions in redundant number systems: Fibonacci bases and greedy algorithms. Zbl 1072.11007
Heuberger, Clemens
6
2004
On planarity and colorability of circulant graphs. Zbl 1028.05024
Heuberger, Clemens
41
2003
Carry propagation in signed digit representations. Zbl 1026.11015
Heuberger, Clemens; Prodinger, Helmut
6
2003
Subblock occurrences in signed digit representations. Zbl 1049.11084
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut
4
2003
On hamiltonian Toeplitz graphs. Zbl 0988.05061
Heuberger, Clemens
13
2002
Thomas’ family of Thue equations over imaginary quadratic fields. Zbl 1009.11022
Heuberger, Clemens; Pethő, Attila; Tichy, Robert F.
10
2002
Minimal redundant digit expansions in the Gaussian integers. Zbl 1076.11005
Heuberger, Clemens
2
2002
On minimal expansions in redundant number systems: Algorithms and quantitative analysis. Zbl 1030.11003
Heuberger, C.; Prodinger, H.
10
2001
On a conjecture of E. Thomas concerning parametrized Thue equations. Zbl 0973.11043
Heuberger, Clemens
8
2001
On explicit bounds for the solutions of a class of parametrized Thue equations of arbitrary degree. Zbl 1009.11023
Heuberger, Clemens
4
2001
On general families of parametrized Thue equations. Zbl 0963.11019
Heuberger, Clemens
7
2000
On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\). Zbl 0971.11018
Heuberger, Clemens; Le, Maohua
8
1999
On families of parametrized Thue equations. Zbl 0934.11012
Heuberger, Clemens
4
1999
Minimal expansions in redundant number systems and shortest paths in graphs. Zbl 0957.11005
Heuberger, C.
1
1999
Complete solution of parametrized Thue equations. Zbl 1024.11017
Heuberger, C.; Pethő, A.; Tichy, R. F.
11
1998
On a family of quintic Thue equations. Zbl 0915.11017
Heuberger, Clemens
6
1998
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Cited by 489 Authors

40 Heuberger, Clemens
24 Prodinger, Helmut
16 Wagner, Stephan G.
16 Zhang, Jianzhong
13 Krenn, Daniel
11 Ziegler, Volker
10 Liu, Longcheng
8 Guan, Xiucui
8 Nguyen, Kien Trung
8 Zhang, Liwei
7 Kropf, Sara
6 Gassner, Elisabeth
6 Pardalos, Panos M.
6 Yang, Xiaoguang
6 Yao, Enyu
6 Zhang, Binwu
5 Andriantiana, Eric Ould Dadah
5 Burkard, Rainer E.
5 Chung, Yerim
5 Jadrijević, Borka
5 Taletskii, Dmitrii S.
5 Tayyebi, Javad
5 Togbé, Alain
4 Aman, Massoud
4 Dantas, Simone
4 Demange, Marc
4 Grabner, Peter J.
4 Hung, Nguyen Thanh
4 Lee, Taewoo
4 Nadeem, Muhammad Faisal
4 Nicoloso, Sara
4 Pietropaoli, Ugo
4 Shabbir, Ayesha
4 Wang, Hua
4 Wang, Qin
4 Zhang, Zhao
3 Alizadeh, Behrooz
3 Aswani, Anil
3 Avanzi, Roberto Maria
3 Bennett, Michael A.
3 Brucker, Peter J.
3 Bruyère, Véronique
3 Chassein, André B.
3 Picinin de Mello, Célia
3 Deaconu, Adrian M.
3 Drmota, Michael
3 Gutman, Ivan M.
3 Jiang, Yong
3 Li, Lidan
3 Lu, Yue
3 Malyshev, Dmitriĭ Sergeevich
3 Mélot, Hadrien
3 Muir, James A.
3 Pethő, Attila
3 Schaefer, Andrew J.
3 Shakhlevich, Natalia V.
3 Vukusic, Ingrid
3 Wang, Lizhi
3 Xiao, Xiantao
3 Zamfirescu, Tudor I.
3 Zhang, Xiaodong
2 Artigas, Danilo
2 Bača, Martin
2 Banderier, Cyril
2 Barajas, Javier
2 Baril, Jean-Luc
2 Bashir, Yasir
2 Bérczi, Kristóf
2 Berthé, Valérie
2 Bhaskar, Umang
2 Bóna, Miklós
2 Chan, Timothy C. Y.
2 Chang, Te-Jen
2 Ciurea, Eleonor
2 Cullinan, John
2 De Smet, Yves
2 Du, Ding-Zhu
2 Euler, Reinhardt
2 Fanghänel, Diana
2 Figueira, José Rui
2 Flowers, Elena
2 Frank, András
2 Fuchs, Clemens
2 Fukuoka, Yoshimi
2 Gaál, István
2 Ghate, Archis
2 Goedhart, Eva G.
2 Hackl, Benjamin
2 Hatzl, Johannes
2 He, Yong
2 Ilić, Aleksandar
2 Jia, Junhua
2 Kaminsky, Philip M.
2 Lai, Hong-Jian
2 Lawrinenko, Alexander
2 Lettl, Günter Hermann Alexander
2 Li, Chao
2 Li, Shuangshuang
2 Lipnik, Gabriel F.
2 Lou, Der-Chyuan
...and 389 more Authors
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Cited in 130 Serials

21 Discrete Applied Mathematics
16 Discrete Mathematics
13 Theoretical Computer Science
13 Journal of Combinatorial Optimization
12 Journal of Global Optimization
11 Journal of Number Theory
11 European Journal of Operational Research
11 The Electronic Journal of Combinatorics
8 Graphs and Combinatorics
7 Applied Mathematics and Computation
7 Operations Research Letters
7 Journal de Théorie des Nombres de Bordeaux
6 Journal of Symbolic Computation
6 Algorithmica
6 Designs, Codes and Cryptography
6 Linear Algebra and its Applications
6 Optimization Letters
5 Mathematics of Computation
5 Monatshefte für Mathematik
5 Journal of Industrial and Management Optimization
4 Networks
4 Asia-Pacific Journal of Operational Research
4 Journal of Scheduling
4 Journal of Integer Sequences
3 Periodica Mathematica Hungarica
3 Journal of Computational and Applied Mathematics
3 Operations Research
3 European Journal of Combinatorics
3 Acta Mathematica Hungarica
3 Mathematical Programming. Series A. Series B
3 The Australasian Journal of Combinatorics
3 Journal of Mathematical Chemistry
3 Mathematical Methods of Operations Research
3 RAIRO. Operations Research
3 Integers
3 Journal of Applied Mathematics and Computing
3 Discrete Optimization
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Computing
2 Glasgow Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Quaestiones Mathematicae
2 Optimization
2 Mathematical and Computer Modelling
2 Indagationes Mathematicae. New Series
2 SIAM Journal on Optimization
2 Computational Optimization and Applications
2 Combinatorics, Probability and Computing
2 INFORMS Journal on Computing
2 Journal of Discrete Mathematical Sciences & Cryptography
2 CEJOR. Central European Journal of Operations Research
2 Journal of the Australian Mathematical Society
2 Journal of Systems Science and Complexity
2 International Journal of Number Theory
2 Mathematics in Computer Science
2 Journal of Mathematical Cryptology
2 Journal of the Operations Research Society of China
2 Special Matrices
2 Enumerative Combinatorics and Applications
1 Computers & Mathematics with Applications
1 Information Processing Letters
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Optimization
1 Journal of Combinatorial Theory. Series A
1 Journal of Computer and System Sciences
1 Journal of Graph Theory
1 Journal of Optimization Theory and Applications
1 Kyungpook Mathematical Journal
1 Mathematics of Operations Research
1 Mathematica Slovaca
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Opsearch
1 Revista de la Unión Matemática Argentina
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Acta Mathematicae Applicatae Sinica
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Computers & Operations Research
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 Numerical Methods for Partial Differential Equations
1 SIAM Journal on Discrete Mathematics
1 Annals of Operations Research
1 Mathematical Structures in Computer Science
1 International Journal of Foundations of Computer Science
1 Discrete Mathematics and Applications
1 Games and Economic Behavior
1 YUJOR. Yugoslav Journal of Operations Research
1 Aequationes Mathematicae
1 Glasnik Matematički. Serija III
1 International Journal of Computer Mathematics
1 Filomat
1 The New York Journal of Mathematics
...and 30 more Serials
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Cited in 35 Fields

140 Combinatorics (05-XX)
136 Operations research, mathematical programming (90-XX)
105 Number theory (11-XX)
61 Computer science (68-XX)
24 Information and communication theory, circuits (94-XX)
17 Probability theory and stochastic processes (60-XX)
11 Algebraic geometry (14-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Biology and other natural sciences (92-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Numerical analysis (65-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Statistics (62-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Commutative algebra (13-XX)
3 Functions of a complex variable (30-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Real functions (26-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)

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