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Prove if $\operatorname{adj}(A) = O$ then $\operatorname{rank}A \leq n-2$

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#linear-algebra #matrix-rank #adjacency-matrix
800
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Largest eigenvalue of a simple graph

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#combinatorics #graph-theory #eigenvalues-eigenvectors #adjacency-matrix
227
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Checking if two digraphs are isomorphic from their adjacency matrices

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#graph-theory #spectral-graph-theory #graph-isomorphism #directed-graphs #adjacency-matrix
184
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Let G be a graph with connected components, give adjacency matrix.

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#graph-theory #graph-connectivity #adjacency-matrix
262
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Examples of graph problems that are $\Omega(n^2)$ when using adjacency matrix representation.

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#graph-theory #algorithms #examples-counterexamples #adjacency-matrix
136
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How to find the determinant of a scaled adjacency matrix?

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#linear-algebra #matrices #determinant #adjacency-matrix
164
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Eigenvalue of d regular graph being 1

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#matrices #graph-theory #eigenvalues-eigenvectors #set-partition #adjacency-matrix
313
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What is a non binary adjacency Matrix?

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#matrices #graph-theory #symmetric-matrices #adjacency-matrix
671
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Upper bound on the largest eigenvalue of a simple graph

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#combinatorics #matrices #graph-theory #eigenvalues-eigenvectors #adjacency-matrix
331
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There are at most three walks of length 4 between any two distinct vertices of the graph G?

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#graph-theory #adjacency-matrix
606
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Sum of adjacency matrices in connected graph G

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#graph-theory #adjacency-matrix
203
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Interpretation of Symmetric Normalised Weighted Adjacency Matrix in GCN

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#graph-theory #symmetric-matrices #neural-networks #adjacency-matrix
261
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What is the number of possible simple directed graphs of $n$ elements without 2-cycles and self-loops?

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#combinatorics #discrete-mathematics #graph-theory #network #adjacency-matrix
87
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Normalize an adjacency matrix twice

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#matrices #spectral-graph-theory #clustering #adjacency-matrix
3k
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Obtaining the degree matrix from the adjacency matrix

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#matrices #adjacency-matrix

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