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pro vyhledávání: '"Shader, Bryan"'
The Seidel matrix of a tournament on $n$ players is an $n\times n$ skew-symmetric matrix with entries in $\{0, 1, -1\}$ that encapsulates the outcomes of the games in the given tournament. It is known that the determinant of an $n\times n$ Seidel mat
Externí odkaz:
http://arxiv.org/abs/2406.09697
Autor:
Abiad, Aida, Curtis, Bryan A., Flagg, Mary, Hall, H. Tracy, Lin, Jephian C. -H., Shader, Bryan
The inverse eigenvalue problem studies the possible spectra among matrices whose off-diagonal entries have their zero-nonzero patterns described by the adjacency of a graph $G$. In this paper, we refer to the $i$-nullity pair of a matrix $A$ as $(\op
Externí odkaz:
http://arxiv.org/abs/2310.13884
The inverse eigenvalue problem of a graph studies the real symmetric matrices whose off-diagonal pattern is prescribed by the adjacencies of the graph. The strong spectral property (SSP) is an important tool for this problem. This note establishes th
Externí odkaz:
http://arxiv.org/abs/2112.11712
Autor:
Abiad, Aida, Curtis, Bryan A., Flagg, Mary, Hall, H. Tracy, Lin, Jephian C.-H., Shader, Bryan
Publikováno v:
In Linear Algebra and Its Applications 15 October 2024 699:539-568
Autor:
Curtis, Bryan A., Shader, Bryan L.
A new condition, the strong inner product property, is introduced and used to construct sign patterns of row orthogonal matrices. Using this property, infinite families of sign patterns allowing row orthogonality are found. These provide insight into
Externí odkaz:
http://arxiv.org/abs/1907.09982
Autor:
Butler, Steve, Erickson, Craig, Fallat, Shaun, Hall, H. Tracy, Kroschel, Brenda, Lin, Jephian C. -H., Shader, Bryan, Warnberg, Nathan, Yang, Boting
Zero forcing is a combinatorial game played on a graph where the goal is to start with all vertices unfilled and to change them to filled at minimal cost. In the original variation of the game there were two options. Namely, to fill any one single ve
Externí odkaz:
http://arxiv.org/abs/1809.07640
Autor:
Ferrero, Daniela, Flagg, Mary, Hall, H. Tracy, Hogben, Leslie, Lin, Jephian C. -H., Meyer, Seth, Nasserasr, Shahla, Shader, Bryan
Connections between vital linkages and zero forcing are established. Specifically, the notion of a rigid linkage is introduced as a special kind of unique linkage and it is shown that spanning forcing paths of a zero forcing process form a spanning r
Externí odkaz:
http://arxiv.org/abs/1808.05553
Lights Out! is a game played on a $5 \times 5$ grid of lights, or more generally on a graph. Pressing lights on the grid allows the player to turn off neighboring lights. The goal of the game is to start with a given initial configuration of lit ligh
Externí odkaz:
http://arxiv.org/abs/1802.05359
Publikováno v:
In Linear Algebra and Its Applications 1 September 2022 648:70-87
Publikováno v:
In Linear Algebra and Its Applications 1 March 2022 636:93-114