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Is the following condition NASC for connectivity of a graph?

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#matrices #graph-theory #adjacency-matrix
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On the multiplicity of the second largest eigenvalue of adjacency matrix

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#graph-theory #eigenvalues-eigenvectors #adjacency-matrix
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Largest eigenvalue of the adjacency matrix of a graph

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#linear-algebra #matrices #graph-theory #eigenvalues-eigenvectors #adjacency-matrix
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How many cycles in this adjacency matrix?

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#combinatorics #permutation-cycles #adjacency-matrix
1.8k
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eigenvalues of k-regular bipartite graph adjacency matrix.

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#graph-theory #eigenvalues-eigenvectors #bipartite-graphs #adjacency-matrix
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Common neighbour matrix of a graph

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#matrices #graph-theory #network #adjacency-matrix #skew-symmetric-matrices
31
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Sum over pairs of nodes forming a triangle

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#matrices #graph-theory #symmetric-matrices #network #adjacency-matrix
851
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What is the meaning of eigenvalues in adjacency matrices?

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#linear-algebra #graph-theory #spectral-theory #adjacency-matrix
139
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Motif adjacency matrices for motifs with $\ge 3$ nodes

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#combinatorics #matrices #discrete-mathematics #graph-theory #adjacency-matrix
91
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Matrix of paths from graph $G_1$ to graph $G_2$ to graph $G_3$

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#combinatorics #matrices #discrete-mathematics #graph-theory #adjacency-matrix
65
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Counting a walk $i \rightarrow j \rightarrow k \rightarrow j \rightarrow l \rightarrow j$ in a graph

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#combinatorics #matrices #discrete-mathematics #graph-theory #adjacency-matrix
175
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What is the interpretation of the normalized adjacency matrix raised to a power?

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#linear-algebra #matrices #intuition #laplacian #adjacency-matrix
76
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"Balanced" graphs and trees

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#linear-algebra #graph-theory #algebraic-graph-theory #adjacency-matrix
67
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Usefulness of the inverse of $I-A$ in a finite tree network

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#graph-theory #trees #adjacency-matrix
38
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if $X\mid Y$ follows Bernoulli with parameter $g(Y)$ then what is $E[X]$?

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#probability #random-variables #conditional-expectation #adjacency-matrix

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