World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
8548
World Ranking
1359
National Ranking
18

Engineering and Technology

D-Index
45
Citations
8341
World Ranking
5455
National Ranking
88

Kazuo Murota publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Kazuo Murota sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 322 publications — 88th percentile

88% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Kazuo Murota D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Kazuo Murota sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Kazuo Murota is affiliated with Tokyo Metropolitan University in Japan and has a research focus that spans computer science and mathematics. The scientist's work prominently covers computational theory and mathematics, applied mathematics, and numerical analysis, with additional engagement in areas such as computer graphics and computer-aided design as well as computer networks and communications.

The primary topics of Kazuo Murota's research include advanced graph theory, optimization and variational analysis, complexity and algorithms in graphs, advanced optimization algorithms, computational geometry and mesh generation, optimization and search problems, and point processes with geometric inequalities.

Murota's recent scholarly output includes several papers published in recognized journals between 2020 and 2023. Notable publications are:

  • "Decreasing minimization on M-convex sets: background and structures" (2021), published in Mathematical Programming
  • "On basic operations related to network induction of discrete convex functions" (2020), published in Optimization Methods & Software
  • "A Discrete Convex Min-Max Formula for Box-TDI Polyhedra" (2021), published in Mathematics of Operations Research
  • "Discrete Fenchel duality for a pair of integrally convex and separable convex functions" (2022), published in Japan Journal of Industrial and Applied Mathematics
  • "Recent progress on integrally convex functions" (2023), published in Japan Journal of Industrial and Applied Mathematics

Collaborative work is a significant aspect of Murota's research activities. Frequent co-authors include András Frank, Akihisa Tamura, Satoko Moriguchi, and Akiyoshi Shioura.

The scientist's publication venues reflect a focus on both specialized and broad academic platforms, with multiple papers appearing in arXiv, Japan Journal of Industrial and Applied Mathematics, Discrete Applied Mathematics, Mathematical Programming, and Mathematics of Operations Research.

Best Publications

  • Discrete Convex Analysis

    Kazuo Murota

  • Matrices and Matroids for Systems Analysis

    Kazuo Murota

  • Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework

    Mituhiro Fukuda;Masakazu Kojima;Kazuo Murota;Kazuhide Nakata

  • VORONOI DIAGRAM IN THE LAGUERRE GEOMETRY AND ITS APPLICATIONS

    Hiroshi Imai;Masao Iri;Kazuo Murota

  • Convexity and Steinitz's Exchange Property

    Kazuo Murota

  • Exploiting sparsity in semidefinite programming via matrix completion II: implementation and numerical results

    Kazuhide Nakata;Katsuki Fujisawa;Mituhiro Fukuda;Masakazu Kojima

  • M-Convex Function on Generalized Polymatroid

    Kazuo Murota;Akiyoshi Shioura

  • Deterministic network coding by matrix completion

    Nicholas J. A. Harvey;David R. Karger;Kazuo Murota

  • Systems Analysis by Graphs and Matroids

    Kazuo Murota

  • Discrete convexity and equilibria in economies with indivisible goods and money

    Vladimir I. Danilov;Gleb A. Koshevoy;Kazuo Murota

  • Recent Developments in Discrete Convex Analysis

    Kazuo Murota

  • IMPROVEMENTS OF THE INCREMENTAL METHOD FOR THE VORONOI DIAGRAM WITH COMPUTATIONAL COMPARISON OF VARIOUS ALGORITHMS

    Takao Ohya;Masao Iri;Kazuo Murota

  • Practical use of Bucketing Techniques in Computational Geometry

    Takao Asano;Masato Edahiro;Hiroshi Imai;Masao Iri

  • Systems Analysis by Graphs and Matroids: Structural Solvability and Controllability

    Kazuo Murota

  • Discrete convex analysis: A tool for economics and game theory

    Kazuo Murota

  • A fast Voronoi-diagram algorithm with applications to geographical optimization problems

    Masao Iri;Kazuo Murota;Takao Ohya

  • Notes on L-/M-convex functions and the separation theorems

    Satoru Fujishige;Kazuo Murota

  • A numerical algorithm for block-diagonal decomposition of matrix $${*}$$-algebras with application to semidefinite programming

    Kazuo Murota;Yoshihiro Kanno;Masakazu Kojima;Sadayoshi Kojima

  • Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory

    Kiyohiro Ikeda;Kazuo Murota

  • Valuated Matroid Intersection I: Optimality Criteria

    Kazuo Murota

  • MATHEMATICAL ENGINEERING TECHNICAL REPORTS Recent Developments in Discrete Convex Analysis

    Kazuo Murota

Frequent Co-Authors

Masakazu Kojima
Masakazu Kojima Tokyo Institute of Technology
Satoru Fujishige
Satoru Fujishige Kyoto University
András Frank
András Frank Eötvös Loránd University
Naoki Masuda
Naoki Masuda University at Buffalo, State University of New York
Hiroshi Imai
Hiroshi Imai University of Tokyo
Naoki Katoh
Naoki Katoh University of Hyogo
Svatopluk Poljak
Svatopluk Poljak Emory University
Isaac Elishakoff
Isaac Elishakoff Florida Atlantic University

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