Shaun Fallat

2.7k total citations
85 papers, 1.4k citations indexed

About

Shaun Fallat is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Electrical and Electronic Engineering. According to data from OpenAlex, Shaun Fallat has authored 85 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Computational Theory and Mathematics, 52 papers in Geometry and Topology and 36 papers in Electrical and Electronic Engineering. Recurrent topics in Shaun Fallat's work include Matrix Theory and Algorithms (48 papers), Graph theory and applications (45 papers) and graph theory and CDMA systems (35 papers). Shaun Fallat is often cited by papers focused on Matrix Theory and Algorithms (48 papers), Graph theory and applications (45 papers) and graph theory and CDMA systems (35 papers). Shaun Fallat collaborates with scholars based in Canada, United States and China. Shaun Fallat's co-authors include Charles R. Johnson, Leslie Hogben, Steve Kirkland, Francesco Barioli, Michael Cavers, P. van den Driessche, H. Tracy Hall, Bryan L. Shader, Hein van der Holst and Yi-Zheng Fan and has published in prestigious journals such as American Mathematical Monthly, Theoretical Computer Science and Linear Algebra and its Applications.

In The Last Decade

Shaun Fallat

77 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Shaun Fallat Canada 20 1.1k 769 352 233 169 85 1.4k
Bryan L. Shader United States 18 897 0.8× 606 0.8× 364 1.0× 147 0.6× 132 0.8× 101 1.1k
Robert Grone United States 13 907 0.8× 831 1.1× 219 0.6× 176 0.8× 158 0.9× 43 1.6k
Carlos M. da Fonseca Kuwait 16 752 0.7× 527 0.7× 246 0.7× 133 0.6× 62 0.4× 133 1.1k
Leslie Hogben United States 20 982 0.9× 595 0.8× 343 1.0× 217 0.9× 180 1.1× 104 1.4k
Changjiang Bu China 19 781 0.7× 383 0.5× 205 0.6× 52 0.2× 39 0.2× 96 1.1k
Emeric Deutsch United States 18 590 0.5× 398 0.5× 121 0.3× 575 2.5× 33 0.2× 79 1.2k
Wasin So United States 16 560 0.5× 612 0.8× 70 0.2× 180 0.8× 38 0.2× 50 926
Dragomir Ž. Djoković Canada 17 498 0.5× 507 0.7× 344 1.0× 472 2.0× 89 0.5× 105 1.3k
Vera T. Sós Hungary 22 1.4k 1.3× 954 1.2× 310 0.9× 1.3k 5.6× 137 0.8× 62 2.2k
J.J. Seidel Netherlands 21 375 0.3× 440 0.6× 566 1.6× 555 2.4× 79 0.5× 43 1.4k

Countries citing papers authored by Shaun Fallat

Since Specialization
Citations

This map shows the geographic impact of Shaun Fallat'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 Shaun Fallat with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Shaun Fallat more than expected).

Fields of papers citing papers by Shaun Fallat

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shaun Fallat. 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 Shaun Fallat. The network helps show where Shaun Fallat may publish in the future.

Co-authorship network of co-authors of Shaun Fallat

This figure shows the co-authorship network connecting the top 25 collaborators of Shaun Fallat. A scholar is included among the top collaborators of Shaun Fallat 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 Shaun Fallat. Shaun Fallat 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.
Li, Honghai, Li Su, & Shaun Fallat. (2024). On a relationship between the characteristic and matching polynomials of a uniform hypertree. Discrete Mathematics. 347(5). 113915–113915.
2.
Fallat, Shaun, et al.. (2024). Spectral arbitrariness for trees fails spectacularly. Journal of Combinatorial Theory Series B. 169. 161–210.
3.
Barrett, Wayne, et al.. (2023). Regular graphs of degree at most four that allow two distinct eigenvalues. Linear Algebra and its Applications. 679. 127–164.
4.
Fallat, Shaun, et al.. (2023). Sparks of symmetric matrices and their graphs. Electronic Journal of Linear Algebra. 39. 591–606.
5.
Fallat, Shaun, et al.. (2020). Complex Hadamard diagonalisable graphs. Linear Algebra and its Applications. 605. 158–179. 2 indexed citations
6.
Fallat, Shaun, Charles R. Johnson, & Alan D. Sokal. (2017). Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples. Linear Algebra and its Applications. 520. 242–259. 18 indexed citations
7.
Fallat, Shaun, D.D. Olesky, & P. van den Driessche. (2015). The enhanced principal rank characteristic sequence for skew-symmetric matrices. Linear Algebra and its Applications. 498. 366–377. 2 indexed citations
8.
Barrett, Wayne, Steve Butler, Minerva Catral, et al.. (2014). The principal rank characteristic sequence over various fields. Linear Algebra and its Applications. 459. 222–236. 7 indexed citations
9.
Fallat, Shaun, et al.. (2013). On the Null Space Structure Associated with Trees and Cycles. Journal of Combinatorial Mathematics and Combinatorial Computing. 85. 253–272. 1 indexed citations
10.
Fallat, Shaun & Charles R. Johnson. (2011). Totally Nonnegative Matrices. Princeton University Press eBooks. 125 indexed citations
11.
Fallat, Shaun & Charles R. Johnson. (2011). Totally Nonnegative Matrices. Princeton University Press eBooks. 49 indexed citations
12.
Barik, Sasmita, Shaun Fallat, & Steve Kirkland. (2011). On Hadamard diagonalizable graphs. Linear Algebra and its Applications. 435(8). 1885–1902. 13 indexed citations
13.
Barioli, Francesco, Wayne Barrett, Shaun Fallat, et al.. (2010). Zero forcing parameters and minimum rank problems. Linear Algebra and its Applications. 433(2). 401–411. 82 indexed citations
14.
Barioli, Francesco, Shaun Fallat, H. Tracy Hall, et al.. (2009). On the minimum rank of not necessarily symmetric matrices: A preliminary study. Electronic Journal of Linear Algebra. 18. 25 indexed citations
15.
Barioli, Francesco, Shaun Fallat, & Leslie Hogben. (2004). Computation of minimal rank and path cover number for certain graphs. Linear Algebra and its Applications. 392. 289–303. 55 indexed citations
16.
Fallat, Shaun, Steve Kirkland, & Sukanta Pati. (2003). On graphs with algebraic connectivity equal to minimum edge density. Linear Algebra and its Applications. 373. 31–50. 17 indexed citations
17.
Fallat, Shaun, Miroslav Fiedler, & Thomas L. Markham. (2002). Generalized oscillatory matrices. Linear Algebra and its Applications. 359(1-3). 79–90. 6 indexed citations
18.
Fallat, Shaun & Charles R. Johnson. (2001). MULTIPLICATIVE PRINCIPAL-MINOR INEQUALITIES FOR TRIDIAGONAL SIGN-SYMMETRIC P-MATRICES. Taiwanese Journal of Mathematics. 5(3). 655–665. 1 indexed citations
19.
Crans, Alissa S., Shaun Fallat, & Charles R. Johnson. (2001). The Hadamard core of the totally nonnegative matrices. Linear Algebra and its Applications. 328(1-3). 203–222. 13 indexed citations
20.
Fallat, Shaun & P. van den Driessche. (1997). Maximum determinant of (0,1) matrices with certain constant row and column sums. Linear and Multilinear Algebra. 42(4). 303–318. 3 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 Bryan L. Shader Breakdown of academic impact, for papers by Robert Grone Breakdown of academic impact, for papers by Carlos M. da Fonseca Breakdown of academic impact, for papers by Leslie Hogben Breakdown of academic impact, for papers by Changjiang Bu Breakdown of academic impact, for papers by Emeric Deutsch Breakdown of academic impact, for papers by Wasin So Breakdown of academic impact, for papers by Dragomir Ž. Djoković Breakdown of academic impact, for papers by Vera T. Sós Breakdown of academic impact, for papers by J.J. Seidel
Rankless by CCL
2026