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Shaun M. Fallat

Shaun M. Fallat

Shaun M. Fallat 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 Shaun M. Fallat 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+

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

Shaun M. Fallat 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 Shaun M. Fallat 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+

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

Overview

Shaun M. Fallat is affiliated with the University of Regina in Canada. Their research spans both computer science and mathematics, focusing extensively on computational theory and discrete mathematics, with specific attention to matrix theory, graph theory, and related algorithmic studies.

Their publication record includes contributions to various academic journals and venues, notably:

  • arXiv (Cornell University)
  • Linear Algebra and its Applications
  • Graphs and Combinatorics
  • Banach Journal of Mathematical Analysis
  • Discrete Mathematics

Fallat's work addresses advanced topics including matrix theory and algorithms, graph theory and its applications, graph labeling, finite group theory, and limits and structures within graph theory. Their research also covers specialized areas such as graph theory applied to CDMA systems and advanced graph theory research.

Their frequent collaborators reflect longstanding research partnerships and include:

  • Shahla Nasserasr
  • Jephian C.-H. Lin
  • Veronika Furst
  • Karen Meagher
  • Seyed Ahmad Mojallal

Among Fallat's recent publications are:

  • "The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph," 2022, Linear Algebra and its Applications
  • "The Inverse Eigenvalue Problem of a Graph, Zero Forcing, and Related Parameters," 2020, Notices of the American Mathematical Society
  • "On a relationship between the characteristic and matching polynomials of a uniform hypertree," 2024, Discrete Mathematics
  • "Weakly Hadamard diagonalizable graphs," 2020, Linear Algebra and its Applications
  • "The Erdős-Ko-Rado theorem for 2-intersecting families of perfect matchings," 2021, Algebraic Combinatorics

These publications illustrate Fallat's focus on algebraic combinatorics and matrix analysis within the context of graph theory, exploring eigenvalue problems and properties of graph structures.

Best Publications

  • Zero forcing sets and the minimum rank of graphs

    Francesco Barioli;Wayne Barrett;Steve Butler;Sebastian M. Cioabă

  • Totally Nonnegative Matrices

    Shaun M. Fallat;Charles R. Johnson

  • The minimum rank of symmetric matrices described by a graph: A survey☆

    Shaun M. Fallat;Leslie Hogben

  • Zero forcing parameters and minimum rank problems

    Francesco Barioli;Wayne Barrett;Shaun M. Fallat;H. Tracy Hall

  • On the normalized Laplacian energy and general Randić index R-1 of graphs

    Michael Cavers;Shaun Fallat;Steve Kirkland;Steve Kirkland

  • Extremizing algebraic connectivity subject to graph theoretic constraints

    Shaun Fallat;Steve Kirkland

  • Parameters Related to Tree-Width, Zero Forcing, and Maximum Nullity of a Graph

    Francesco Barioli;Wayne Barrett;Shaun M. Fallat;H. Tracy Hall

  • Computation of minimal rank and path cover number for certain graphs

    Francesco Barioli;Shaun Fallat;Leslie Hogben

  • Bidiagonal Factorizations of Totally Nonnegative Matrices

    Shaun M. Fallat

  • Skew-adjacency matrices of graphs

    M. Cavers;S.M. Cioabă;S. Fallat;D.A. Gregory

  • Sub-direct sums and positivity classes of matrices

    Shaun M. Fallat;Charles R. Johnson

  • Total positivity in Markov structures

    Shaun Fallat;Steffen Lauritzen;Kayvan Sadeghi;Caroline Uhler

  • Perron components and algebraic connectivity for weighted graphs

    Steve Kirkland;Shaun Fallat

  • On the minimum rank of not necessarily symmetric matrices : a preliminary study

    Francesco Barioli;Shaun M. Fallat;H. Tracy Hall;Daniel Hershkowitz

  • Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs

    Shaun M. Fallat;Leslie Hogben

  • Bipartiteness and the least eigenvalue of signless Laplacian of graphs

    Shaun Fallat;Yi-Zheng Fan;Yi-Zheng Fan

  • Variants on the minimum rank problem: A survey II

    Shaun M. Fallat;Leslie Hogben

  • A variant on the graph parameters of Colin de Verdiere: Implications to the minimum rank of graphs

    Francesco Barioli;Shaun Fallat;Leslie Hogben

  • Generalizations of the Strong Arnold Property and the Minimum Number of Distinct Eigenvalues of a Graph

    Wayne Barrett;Shaun M. Fallat;H. Tracy Hall;Leslie Hogben

  • Minimizing algebraic connectivity over connected graphs with fixed girth

    Shaun M. Fallat;Steve Kirkland;Sukanta Pati

Frequent Co-Authors

Leslie Hogben
Leslie Hogben Iowa State University
Charles R. Johnson
Charles R. Johnson William & Mary
P. van den Driessche
P. van den Driessche University of Victoria
Alan D. Sokal
Alan D. Sokal New York University
Michael Neumann
Michael Neumann University of Connecticut
Steffen L. Lauritzen
Steffen L. Lauritzen University of Copenhagen
Nanny Wermuth
Nanny Wermuth Chalmers University of Technology
Chi-Kwong Li
Chi-Kwong Li William & Mary
Willem H. Haemers
Willem H. Haemers Tilburg University
Chris Godsil
Chris Godsil University of Waterloo

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