Results 211 to 220 of about 2,177,028 (229)
Maximum Nullity of Some Cayley Graphs [PDF]
Cogent Mathematics & Statistics, 2018 Recently, the nullity, the algebraic multiplicity of the number zero in the spectrum of the adjacency matrix, of a molecular graph has received a lot of attention as it has a number of direct appli...
E. Vatandoost, Y. Golkhandy Pour
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Signed graphs with stable maximum nullity at most two
Linear Algebra and its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marina Arav +2 more
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Maximum Nullity and Zero Forcing Number of Graphs With Rank at Most 4
Cogent Mathematics & Statistics, 2018 Let G be a simple graph with n vertices. The rank of G is the number of non-zero eigenvalues of its adjacency matrix and denoted by rank(G).
Katayoun Nozari, Ebrahim Vatandoost
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On the nullity of a connected graph in terms of order and maximum degree
Linear Algebra and its Applications, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bo Cheng, Muhuo Liu, Bit-Shun Tam
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On the Nullity of Graphs [PDF]
Electronic Journal of Linear Algebra, 2007 The nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its spectrum. It is known that η(G) ≤ n − 2 if G is a simple graph on n vertices and G is notisomorphic to nK1.
Bolian Liu
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Minimum-rank and maximum-nullity of graphs and their linear preservers
Linear and Multilinear Algebra, 2020The minimum rank of a simple graph G is defined to be the smallest possible rank over all symmetric real matrices whose i j t h entry (for i ≠ j ) is nonzero whenever ( i , j ) is an edge in G and ...
LeRoy B. Beasley, Seok-Zun Song
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Parameters Related to Tree-Width, Zero Forcing, and Maximum Nullity of a Graph [PDF]
Journal of Graph Theory, 2013 Tree-width, and variants that restrict the allowable tree decompositions, play an important role in the study of graph algorithms and have application to computer science.
Bryan Shader +2 more
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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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Proof of a conjecture on the nullity of a connected graph in terms of order and maximum degree
Linear Algebra and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bo Cheng, Muhuo Liu, Bolian Liu
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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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