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Is a stable Metzler matrix minus a Metzler matrix with zero along diagonal also stable?

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#linear-algebra #eigenvalues-eigenvectors #spectral-graph-theory
896
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Diagonally dominant matrix by rows and/or by columns

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#linear-algebra #graph-theory #eigenvalues-eigenvectors #spectral-graph-theory
90
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Shape of the graph spectrum

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#graph-theory #spectral-graph-theory #adjacency-matrix
62
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Let $G$ be a planar graph with $n$ vertices, then $\lambda_1(G) \leq −3 \lambda_n(G)$.

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#linear-algebra #graph-theory #spectral-graph-theory
155
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How can one construct a directed expander graph with varying degree distributions (not d-regular)?

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#spectral-graph-theory #directed-graphs
206
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book recommendation: differential equations on networks

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#ordinary-differential-equations #reference-request #partial-differential-equations #spectral-graph-theory
2.3k
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Do isomorphic graphs have same values for adjacency matrices and spectrum?

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#discrete-mathematics #graph-theory #spectral-graph-theory #adjacency-matrix
768
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Normalized Laplacian eigenvalues of a path graph

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#graph-theory #spectral-theory #algebraic-graph-theory #spectral-graph-theory
116
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Equitable partitions in the undirected graph

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#spectral-graph-theory
245
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Approximate discrete Laplacian with continuous Laplacian

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#graph-theory #reference-request #spectral-graph-theory
438
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Spectrum of cocktail party graph?

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#graph-theory #eigenvalues-eigenvectors #spectral-graph-theory
181
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Edge-to-edge incidence structure of a graph

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#graph-theory #spectral-graph-theory #simplicial-complex #hypergraphs #adjacency-matrix
98
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A problem about incidence graph of Projective plane?

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#graph-theory #spectral-graph-theory
97
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2-fold covers of graphs, their spectrum and the matching polynomial

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#combinatorics #graph-theory #algebraic-graph-theory #spectral-graph-theory
84
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Counting $3$-cycles in the Cartesian product of wheel and star graphs

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#graph-theory #spectral-graph-theory

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