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If a determinant of a matrix is 0, is the graph formed from it acyclic?

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#matrices #graph-theory #determinant #adjacency-matrix
478
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Exercise 8.18 in Algebraic Graph Theory by Godsil and Royle

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#matrices #graph-theory #eigenvalues-eigenvectors #spectral-graph-theory #adjacency-matrix
499
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Determining the number of isomers of alkanes using trees and adjacency tables

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#matrices #graph-theory #trees #chemistry #adjacency-matrix
64
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What area of math is used to solve this game?

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#abstract-algebra #graph-theory #adjacency-matrix
749
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Which graphs have reflexive, symmetric and transitive edge sets?

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#graph-theory #adjacency-matrix
813
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Calculation Transitivity of a Graph from the Adj Matrix

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#linear-algebra #graph-theory #adjacency-matrix
111
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Eigenvalues and multiplicities

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#linear-algebra #eigenvalues-eigenvectors #symmetric-matrices #adjacency-matrix
103
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Invariance of eigenvalues of a $0,\pm1 $ matrix

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#linear-algebra #eigenvalues-eigenvectors #spectral-graph-theory #adjacency-matrix #signed-graphs
118
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Analogy between graph Laplacian and continuous Laplacian

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#graph-theory #laplacian #algebraic-graph-theory #graph-laplacian #adjacency-matrix
54
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The number of very small eigenvalues of a adjacency matirx

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#linear-algebra #graph-theory #eigenvalues-eigenvectors #adjacency-matrix
91
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Finding path lengths by the power of adjacency matrix of an undirected graph

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#graph-theory #hamiltonian-path #eulerian-path #adjacency-matrix
145
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Smallest spectral radius of signed Petersen graph

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#graph-theory #eigenvalues-eigenvectors #spectral-graph-theory #adjacency-matrix #signed-graphs
81
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Eigenvectors of Kneser graphs

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#graph-theory #eigenvalues-eigenvectors #spectral-graph-theory #adjacency-matrix
91
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Draw random graph from adjacency matrix

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#graph-theory #random-graphs #algebraic-graph-theory #adjacency-matrix
117
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Finding the optimal adjacency matrix

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#optimization #nonlinear-optimization #discrete-optimization #semidefinite-programming #adjacency-matrix

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