Peter Butkovič

1.8k total citations
46 papers, 1.0k citations indexed

About

Peter Butkovič is a scholar working on Computational Theory and Mathematics, Algebra and Number Theory and Electrical and Electronic Engineering. According to data from OpenAlex, Peter Butkovič has authored 46 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Computational Theory and Mathematics, 16 papers in Algebra and Number Theory and 11 papers in Electrical and Electronic Engineering. Recurrent topics in Peter Butkovič's work include Polynomial and algebraic computation (18 papers), Matrix Theory and Algorithms (17 papers) and Advanced Topics in Algebra (14 papers). Peter Butkovič is often cited by papers focused on Polynomial and algebraic computation (18 papers), Matrix Theory and Algorithms (17 papers) and Advanced Topics in Algebra (14 papers). Peter Butkovič collaborates with scholars based in United Kingdom, United States and Slovakia. Peter Butkovič's co-authors include R. A. Cuninghame‐Green, Hans Schneider, Sergeĭ Sergeev, Stéphane Gaubert, Rainer E. Burkard, Karel Zimmermann, Péter Szabó, Kataŕına Cechlárová, Ján Plavka and Bit-Shun Tam and has published in prestigious journals such as Mathematical Programming, SIAM Journal on Control and Optimization and Annals of Operations Research.

In The Last Decade

Peter Butkovič

43 papers receiving 921 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Peter Butkovič United Kingdom 16 879 265 143 136 116 46 1.0k
Shmuel Onn Israel 18 471 0.5× 127 0.5× 116 0.8× 137 1.0× 57 0.5× 78 811
Raymond Hemmecke Germany 14 326 0.4× 105 0.4× 141 1.0× 95 0.7× 45 0.4× 38 585
Dmitrii V. Ṗasechnik Netherlands 14 448 0.5× 50 0.2× 161 1.1× 246 1.8× 114 1.0× 66 777
Clemens Heuberger Austria 13 339 0.4× 74 0.3× 159 1.1× 62 0.5× 211 1.8× 71 640
Jon Folkman United States 11 413 0.5× 86 0.3× 77 0.5× 97 0.7× 216 1.9× 20 723
Sergiu Rudeanu Romania 8 411 0.5× 41 0.2× 235 1.6× 77 0.6× 19 0.2× 41 699
Jim Lawrence United States 13 237 0.3× 50 0.2× 47 0.3× 44 0.3× 84 0.7× 31 619
N. Sauer Canada 12 532 0.6× 46 0.2× 297 2.1× 28 0.2× 272 2.3× 47 893
Jonathan S. Golan Israel 13 701 0.8× 697 2.6× 263 1.8× 32 0.2× 335 2.9× 53 1.3k
Mirjam Dür Germany 15 459 0.5× 23 0.1× 41 0.3× 439 3.2× 29 0.3× 33 654

Countries citing papers authored by Peter Butkovič

Since Specialization
Citations

This map shows the geographic impact of Peter Butkovič's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Butkovič with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Butkovič more than expected).

Fields of papers citing papers by Peter Butkovič

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Butkovič. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Butkovič. The network helps show where Peter Butkovič may publish in the future.

Co-authorship network of co-authors of Peter Butkovič

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Butkovič. A scholar is included among the top collaborators of Peter Butkovič based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Butkovič. Peter Butkovič is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Butkovič, Peter, et al.. (2013). On integer eigenvectors and subeigenvectors in the max-plus algebra. Linear Algebra and its Applications. 438(8). 3408–3424. 5 indexed citations
2.
Sergeev, Sergeĭ, Hans Schneider, & Peter Butkovič. (2009). On visualization scaling, subeigenvectors and Kleene stars in max algebra. Linear Algebra and its Applications. 431(12). 2395–2406. 45 indexed citations
3.
Butkovič, Peter. (2007). Permuted max-algebraic eigenvector problem is NP-complete. Linear Algebra and its Applications. 428(8-9). 1874–1882. 1 indexed citations
4.
Butkovič, Peter, Leslie Hogben, Reinhard Nabben, Zdeněk Strakoš, & Miroslav Tůma. (2006). A brief biography and appreciation of Miroslav Fiedler with a bibliography of his books and papers. Linear Algebra and its Applications. 421(2-3). 173–181.
5.
Butkovič, Peter, Hans Schneider, & Sergeĭ Sergeev. (2006). Generators, extremals and bases of max cones. Linear Algebra and its Applications. 421(2-3). 394–406. 45 indexed citations
6.
Butkovič, Peter, et al.. (2006). On the job rotation problem. Discrete Optimization. 4(2). 163–174. 6 indexed citations
7.
Butkovič, Peter & Karel Zimmermann. (2005). A strongly polynomial algorithm for solving two-sided linear systems in max-algebra. Discrete Applied Mathematics. 154(3). 437–446. 23 indexed citations
8.
Cuninghame‐Green, R. A. & Peter Butkovič. (2004). Bases in max-algebra. Linear Algebra and its Applications. 389. 107–120. 37 indexed citations
9.
Burkard, Rainer E. & Peter Butkovič. (2003). Finding all essential terms of a characteristic maxpolynomial. Discrete Applied Mathematics. 130(3). 367–380. 19 indexed citations
10.
Butkovič, Peter. (2003). Max-algebra: the linear algebra of combinatorics?. Linear Algebra and its Applications. 367. 313–335. 98 indexed citations
11.
Butkovič, Peter. (2000). Simple image set of (max,+) linear mappings. Discrete Applied Mathematics. 105(1-3). 73–86. 23 indexed citations
12.
Gaubert, Stéphane & Peter Butkovič. (1999). Sign-non-singular matrices and matrices with unbalanced determinant in symmetrised semirings. Linear Algebra and its Applications. 301(1-3). 195–201. 4 indexed citations
13.
Cuninghame‐Green, R. A. & Peter Butkovič. (1995). Extremal eigenproblem for bivalent matrices. Linear Algebra and its Applications. 222. 77–89. 2 indexed citations
14.
Butkovič, Peter. (1995). Regularity of matrices in min-algebra and its time- complexity. Discrete Applied Mathematics. 57(2-3). 121–132. 11 indexed citations
15.
Butkovič, Peter & R. A. Cuninghame‐Green. (1992). An O(n2) algorithm for the maximum cycle mean of an n×n bivalent matrix. Discrete Applied Mathematics. 35(2). 157–162. 15 indexed citations
16.
Butkovič, Peter & R. A. Cuninghame‐Green. (1991). On the regularity of matrices in min algebra. Linear Algebra and its Applications. 145. 127–139. 5 indexed citations
17.
Butkovič, Peter & Ján Plavka. (1989). On the dependence of the maximum cycle mean of a matrix on permutations of the rows and columns. Discrete Applied Mathematics. 23(1). 45–53. 6 indexed citations
18.
Butkovič, Peter, Kataŕına Cechlárová, & Péter Szabó. (1987). Strong linear independence in bottleneck algebra. Linear Algebra and its Applications. 94. 133–155. 19 indexed citations
19.
Butkovič, Peter. (1985). Necessary solvability conditions of systems of linear extremal equations. Discrete Applied Mathematics. 10(1). 19–26. 9 indexed citations
20.
Butkovič, Peter, et al.. (1985). A condition for the strong regularity of matrices in the minimax algebra. Discrete Applied Mathematics. 11(3). 209–222. 32 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Shmuel Onn Breakdown of academic impact, for papers by Raymond Hemmecke Breakdown of academic impact, for papers by Dmitrii V. Ṗasechnik Breakdown of academic impact, for papers by Clemens Heuberger Breakdown of academic impact, for papers by Jon Folkman Breakdown of academic impact, for papers by Sergiu Rudeanu Breakdown of academic impact, for papers by Jim Lawrence Breakdown of academic impact, for papers by N. Sauer Breakdown of academic impact, for papers by Jonathan S. Golan Breakdown of academic impact, for papers by Mirjam Dür
Rankless by CCL
2026