selected scholarly activity
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journal articles
- Condition numbers of Hessenberg companion matrices. Czechoslovak Mathematical Journal. 74:191-209. 2024
- The allow sequence of distinct eigenvalues for a sign pattern. Electronic Journal of Linear Algebra. 40:48-80. 2024
- Bordering of symmetric matrices and an application to the minimum number of distinct eigenvalues for the join of graphs. Linear Algebra and Its Applications. 679:104-126. 2023
- Well-Covered Token Graphs. Discussiones Mathematicae - Graph Theory. 43:767-792. 2023
- Minimum number of distinct eigenvalues allowed by a sign pattern. Linear Algebra and Its Applications. 654:311-338. 2022
- Maximum nullity and zero forcing of circulant graphs. Special Matrices. 8:221-234. 2020
- Spectral Properties of Sign Patterns. Electronic Journal of Linear Algebra. 36:183-197. 2020
- Non-sparse Companion Matrices. Electronic Journal of Linear Algebra. 35:223-247. 2019
- Shedding vertices of vertex decomposable well-covered graphs. Discrete Mathematics. 341:3355-3369. 2018
- Bounds on polynomial roots using intercyclic companion matrices. Linear Algebra and Its Applications. 539:94-116. 2018
- Corrigendum to “Companion matrix patterns” [Linear Algebra Appl. 463 (2014) 255–272]. Linear Algebra and Its Applications. 538:225-227. 2018
- Bordering for spectrally arbitrary sign patterns. Linear Algebra and Its Applications. 534:36-50. 2017
- Addressing graph products and distance-regular graphs. Discrete Applied Mathematics. 229:46-54. 2017
- Refined Inertia of Matrix Patterns. Electronic Journal of Linear Algebra. 32:317-344. 2017
- Spectrally arbitrary pattern extensions. Linear Algebra and Its Applications. 517:120-128. 2017
- SHELLABILITY, VERTEX DECOMPOSABILITY, AND LEXICOGRAPHICAL PRODUCTS OF GRAPHS. Contributions to Discrete Mathematics. 12:63-68. 2017
- Independence Complexes of Well-Covered Circulant Graphs. Experimental Mathematics. 25:441-451. 2016
- Pentadiagonal Companion Matrices. Special Matrices. 4:13-30. 2016
- Preface special volume on the Conference on Graph Theory, Matrix Theory and Interactions. Electronic Journal of Linear Algebra. 28. 2015
- Sparse spectrally arbitrary patterns. Electronic Journal of Linear Algebra. 28:83-98. 2015
- Companion matrix patterns. Linear Algebra and Its Applications. 463:255-272. 2014
- Cohen–Macaulay Circulant Graphs. Communications in Algebra. 42:1896-1910. 2014
- Techniques for identifying inertially arbitrary patterns. Electronic Journal of Linear Algebra. 26:71-89. 2013
- Potentially nilpotent patterns and the Nilpotent-Jacobian method. Linear Algebra and Its Applications. 436:4433-4445. 2012
- Structure of nilpotent matrices over fields. Electronic Journal of Linear Algebra. 22:931-958. 2011
- Sparse inertially arbitrary patterns. Linear Algebra and Its Applications. 431:2024-2034. 2009
- Zero-nonzero patterns for nilpotent matrices over finite fields. Electronic Journal of Linear Algebra. 18:628-648. 2009
- Generating potentially nilpotent full sign patterns. Electronic Journal of Linear Algebra. 18:162-175. 2009
- Clique partitions of distance multigraphs. Discrete Mathematics. 308:3230-3240. 2008
- Zero forcing sets and the minimum rank of graphs. Linear Algebra and Its Applications. 428:1628-1648. 2008
- Spectrally arbitrary patterns: Reducibility and the 2n conjecture for n=5. Linear Algebra and Its Applications. 423:262-276. 2007
- Inertially arbitrary nonzero patterns of order 4. Electronic Journal of Linear Algebra. 16:30-43. 2007
- On determining minimal spectrally arbitrary patterns. Electronic Journal of Linear Algebra. 13:240-248. 2005
- Spectrally and inertially arbitrary sign patterns. Linear Algebra and Its Applications. 394:53-72. 2005
- Addressing the Petersen graph. Discrete Mathematics. 286:241-244. 2004
- Decompositions of complete multigraphs derived from Hadamard matrices. Journal of combinatorial theory. Series A. 103:17-26. 2003
- Inertia and biclique decompositions of joins of graphs. Journal of combinatorial theory. Series B (Print). 88:135-151. 2003
- Addressing the Petersen graph. Electronic Notes in Discrete Mathematics. 11:278-283. 2002
- Decompositions of Complete Multigraphs Related to Hadamard Matrices. Journal of combinatorial theory. Series A. 82:158-167. 1998
- Skew rank decompositions. Linear Algebra and Its Applications. 244:123-154. 1996
- Sharp bounds for decompositions of graphs into complete r‐partite subgraphs. Journal of Graph Theory. 21:393-400. 1996
- Sharp bounds for decompositions of graphs into completer-partite subgraphs. Journal of Graph Theory. 21:393-400. 1996
- Rank decompositions and signed bigraphs. Linear and Multilinear Algebra. 40:283-301. 1996