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Signed Graphs with Maximum Nullity at Most Two
2022A signed graph is an ordered pair (G,ä), where G = (V, E) is a graph and ä ? E. The edges in ä are called odd, and the edges in E \ ä are called even. The family of matrices S(G,ä) is defined such that if [ai,j] = A ? S(G,ä), then ai,j < 0 if there is at least one edge between i and j and if all edges between i and j are even; ai,j > 0 if there is at ...
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Maximum nullity, zero forcing number and propagation time of \(\ell\)-path graphs
2023Summary: Let \(G\) be a graph with each vertex is colored either white or black. A white vertex is changed to a black vertex when it is the only white neighbor of a black vertex (color-change rule). A zero forcing set \(S\) of a graph \(G\) is a subset of vertices \(G\) with black vertices, all other vertices \(G\) are white, such that after finitely ...
lrm;Kheirydoost, F. +2 more
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An upper bound of the nullity of a graph in terms of order and maximum degree
Linear Algebra and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Qi, Wong, Dein, Sun, Dongqin
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An upper bound for the nullity of a bipartite graph in terms of its maximum degree
Linear and Multilinear Algebra, 2015Let be a connected undirected graph without loops and multiple edges. The graph is said to be reduced if distinct vertices of have distinct neighbours in . The nullity of is the multiplicity of as an eigenvalue of the adjacency matrix of . By and , we respectively denote the order and the maximum degree of .
Ya-zhi Song +2 more
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Principles of maximum entropy and maximum caliber in statistical physics
Reviews of Modern Physics, 2013Steve Pressé +2 more
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PHYLOGENY ESTIMATION AND HYPOTHESIS TESTING USING MAXIMUM LIKELIHOOD
Annual Review of Ecology, Evolution, and Systematics, 1997John P Huelsenbeck, Keith A Crandall
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