World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
49
Citations
13904
World Ranking
1120
National Ranking
39

Computer Science

D-Index
49
Citations
13956
World Ranking
5777
National Ranking
220

Alain Hertz 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 Alain Hertz 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: 213 publications — 67th percentile

67% of scientists in this discipline score the same or lower.

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

Alain Hertz 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 Alain Hertz 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: 49 D-Index — 69th percentile

69% of scientists in this discipline score the same or lower.

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

Overview

Alain Hertz is affiliated with Polytechnique Montréal in Canada and has contributed extensively to the field of computer science. Their research primarily spans computational theory and mathematics, with 38 publications in this main area. Subfields of study include computational theory and mathematics, geometry and topology, computer vision and pattern recognition, artificial intelligence, and discrete mathematics and combinatorics.

Their work covers a variety of academic topics, including advanced graph theory research, graph theory and applications, limits and structures in graph theory, history and advancements in chemistry, computational drug discovery methods, graph labeling and dimension problems, and recommender systems and techniques.

Frequent coauthors in Alain Hertz's collaborations are Gauvain Devillez, Hadrien Mélot, Sébastien Bonte, Vincent Perreault, and Valentin Dusollier.

Publication venues where Alain Hertz's work frequently appears include:

  • arXiv (Cornell University)
  • PolyPublie (École Polytechnique de Montréal)
  • Discrete Applied Mathematics
  • SSRN Electronic Journal
  • RAIRO. Operations Research

Recent papers authored by Alain Hertz are:

  • "Estimating serendipity in content-based recommender systems," 2023, Research Square (Research Square)
  • "The average size of maximal matchings in graphs," 2024, Journal of Combinatorial Optimization
  • "Using Graph Theory to Derive Inequalities for the Bell Numbers," 2021, PolyPublie (École Polytechnique de Montréal)

Other notable papers, although not authored by Hertz but relevant within their research network, include:

  • "A machine learning framework for neighbor generation in metaheuristic search," 2023, Frontiers in Applied Mathematics and Statistics
  • "A Lagrangian-based score for assessing the quality of pairwise constraints in semi-supervised clustering," 2021, Data Mining and Knowledge Discovery

Best Publications

  • A tabu search heuristic for the vehicle routing problem

    Michel Gendreau;Alain Hertz;Gilbert Laporte

  • Using tabu search techniques for graph coloring

    A. Hertz;D. de Werra

  • Ants can colour graphs

    D Costa;A Hertz

  • New insertion and postoptimization procedures for the traveling salesman problem

    Michel Gendreau;Alain Hertz;Gilbert Laporte

  • A new heuristic method for the flow shop sequencing problem

    Marino Widmer;Alain Hertz

  • A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem

    C. Archetti;M. G. Speranza;A. Hertz

  • Tabu search for large scale timetabling problems

    A. Hertz

  • New Heuristics for the Vehicle Routing Problem

    Jean-François Cordeau;Michel Gendreau;Alain Hertz;Gilbert Laporte

  • A Tabu Search Heuristic for the Capacitated Arc Routing Problem

    Alain Hertz;Gilbert Laporte;Michel Mittaz

  • A Generalized Insertion Heuristic for the Traveling Salesman Problem with Time Windows

    Michel Gendreau;Alain Hertz;Gilbert Laporte;Mihnea Stan

  • Metaheuristics for the team orienteering problem

    Claudia Archetti;Alain Hertz;Maria Grazia Speranza

  • Some experiments with simulated annealing for coloring graphs

    M. Chams;A. Hertz;D. de Werra

  • A survey of local search methods for graph coloring

    Philippe Galinier;Alain Hertz

  • Tabu search: a tutorial and an application to neural networks

    D. de Werra;A. Hertz

  • A Hybrid Heuristic for an Inventory Routing Problem

    Claudia Archetti;Luca Bertazzi;Alain Hertz;M. Grazia Speranza

  • A variable neighborhood search for graph coloring

    Cédric Avanthay;Alain Hertz;Nicolas Zufferey

  • The tabu search metaheuristic: How we used it

    A. Hertz;D. Werra

  • The capacitated team orienteering and profitable tour problems

    Claudia Archetti;Dominique Feillet;Alain Hertz;Maria Grazia Speranza

  • New Heuristics for the Vehicle Routing Problem

    Jean-Francois Cordeau;Michel Gendreau;Alain Hertz;Gilbert Laporte

  • Finding a feasible course schedule using Tabu search

    Alain Hertz

  • A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem

    Alain Hertz;Claudia Archetti;Maria Grazia Speranza

  • Metaheuristics for the Team Orienteering Problem

    Alain Hertz;Claudia Archetti;Maria Grazia Speranza

Frequent Co-Authors

D. de Werra
D. de Werra École Polytechnique Fédérale de Lausanne
Claudia Archetti
Claudia Archetti École Supérieure des Sciences Économiques et Commerciales
Gilbert Laporte
Gilbert Laporte HEC Montréal
Michel Gendreau
Michel Gendreau Polytechnique Montréal
Christian Desrosiers
Christian Desrosiers École de Technologie Supérieure
Pierre Hansen
Pierre Hansen HEC Montréal
Francois Gagnon
Francois Gagnon École de Technologie Supérieure
Vadim V. Lozin
Vadim V. Lozin University of Warwick
Bernard Gendron
Bernard Gendron University of Montreal
Brigitte Jaumard
Brigitte Jaumard Concordia University

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