World's Best Scientists 2026 revealed!

D-Index & Metrics

Computer Science

D-Index
39
Citations
8574
World Ranking
9605
National Ranking
4071

Mathematics

D-Index
46
Citations
10579
World Ranking
1339
National Ranking
602

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2012 - SIAM Fellow For contributions to linear algebra and combinatorics.

Overview

Richard A. Brualdi is affiliated with the University of Wisconsin-Madison in the United States. Their research spans multiple fields with a strong focus on mathematics, computer science, and engineering. The primary areas of study include Electrical and Electronic Engineering, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, Geometry and Topology, and Artificial Intelligence.

The scientist's work extensively covers topics such as graph theory and CDMA systems, advanced combinatorial mathematics, graph theory and applications, coding theory and cryptography, finite group theory research, advanced topics in algebra, and graph labeling and dimension problems.

Among their recent published papers are:

  • Pattern-Avoiding (0,1)-Matrices, 2020, arXiv (Cornell University)
  • Pattern-avoiding (0,1)-matrices and bases of permutation matrices, 2021, Discrete Applied Mathematics
  • Sign-restricted matrices of 0's, 1's, and −1's, 2021, Linear Algebra and its Applications
  • Stirling Pairs of Permutations, 2020, Graphs and Combinatorics
  • Diagonal sums of doubly stochastic matrices, 2021, Linear and Multilinear Algebra

Their collaborations include frequent co-authors such as Geir Dahl, Lei Cao, Steven T. Dougherty, Gretchen L. Matthews, and Jay A. Wood.

Richard A. Brualdi has published widely in venues including Linear Algebra and its Applications, arXiv (Cornell University), Graphs and Combinatorics, Discrete Applied Mathematics, and the Electronic Journal of Linear Algebra. Among these, Linear Algebra and its Applications features the largest number of their publications.

Over the course of their career, they have been recognized as a Fellow of the American Mathematical Society in 2013 and a SIAM Fellow in 2012 for their contributions to linear algebra and combinatorics.

Best Publications

  • Combinatorial Matrix Theory

    Richard A. Brualdi;Herbert John Ryser

  • Handbook Of Coding Theory

    Vera Pless;Richard A. Brualdi;W. C. Huffman

  • Matrices of Sign-Solvable Linear Systems

    Richard A. Brualdi;Bryan L. Shader

  • Convex polyhedra of doubly stochastic matrices. I. Applications of the permanent function

    Richard A Brualdi;Peter M Gibson

  • Matrices of zeros and ones with fixed row and column sum vectors

    Richard A. Brualdi

  • Nested species subsets, gaps, and discrepancy

    Richard A. Brualdi;James G. Sanderson

  • On the spectral radius of (0,1)-matrices

    R.A. Brualdi;A.J. Hoffman

  • The diagonal equivalence of a nonnegative matrix to a stochastic matrix

    Richard A Brualdi;Seymour V Parter;Hans Schneider

  • Codes with a poset metric

    Richard A. Brualdi;Janine Smolin Graves;K. Mark Lawrence

  • Combinatorial Matrix Classes

    Richard A. Brualdi

  • Comments on bases in dependence structures

    Richard A. Brualdi

  • Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley

    Richard A. Brualdi;Hans Schneider

  • Spectra of digraphs

    Richard A. Brualdi

  • Matrices eigenvalues, and directed graphs

    Richard A. Brualdi

  • Incidence and strong edge colorings of graphs

    Richard A. Brualdi;Jennifer J. Quinn Massey

  • On the spectral radius of complementary acyclic matrices of zeros and ones

    Richard A Brualdi;Ernie S Solheid

  • Weight Enumerators Of Self-dual Codes

    R.A. Brualdi;V.S. Pless

  • A Combinatorial Approach to Matrix Theory and Its Applications

    Richard A. Brualdi;Dragos Cvetkovic

  • On the Spectral Radius of Connected Graphs

    Richard A. Brualdi;Ernie S. Solheid

  • Regions in the Complex Plane Containing the Eigenvalues of a Matrix

    Richard A. Brualdi;Stephen Mellendorf

  • Combinatorial and Graph-Theoretical Problems in Linear Algebra

    Richard A. Brualdi;Shmuel Friedland;Victor Klee

  • Matrices of sign-solvable linear systems: Master bibliography

    Richard A. Brualdi;Bryan L. Shader

Frequent Co-Authors

Vera Pless
Vera Pless University of Illinois at Chicago
Rachel Manber
Rachel Manber Stanford University
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Hans Schneider
Hans Schneider University of Wisconsin–Madison
Jeffrey Ross
Jeffrey Ross University of Wisconsin–Madison
Noga Alon
Noga Alon Tel Aviv University
Robert J. Plemmons
Robert J. Plemmons Wake Forest University
Peter Šemrl
Peter Šemrl University of Ljubljana
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Bruce E. Sagan
Bruce E. Sagan Michigan State University

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