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Show that the isoperimetric number $i(G)$ of $G$ satisfies $i(G) \le \mu/2$

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#graph-theory #eigenvalues-eigenvectors #graph-laplacian
88
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Can we always find a graph with a given algebraic connectivity?

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#graph-theory #reference-request #eigenvalues-eigenvectors #spectral-graph-theory #graph-laplacian
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Graph Laplacian quadratic form, unusual notation

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#graph-theory #graph-laplacian
189
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Eigenvalues of the product of: a symmetrical Laplacian matrix; and a diagonally dominant matrix with positive diagonal terms

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#matrices #graph-theory #eigenvalues-eigenvectors #graph-laplacian
843
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Graph laplacian: second smallest eigenvalue

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#spectral-graph-theory #graph-laplacian
203
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Finding the eigenvalues of a discrete laplacian on an infinite lattice

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#matrices #eigenvalues-eigenvectors #graph-laplacian #tridiagonal-matrices #infinite-matrices
315
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Laplacian Graph Embeddings with Weighted Graphs

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#graph-theory #graph-laplacian
863
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Why use the Fiedler vector?

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#graph-theory #eigenvalues-eigenvectors #graph-laplacian
102
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Laplacian embedding of a graph with spherical constraint

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#linear-algebra #graph-theory #eigenvalues-eigenvectors #graph-laplacian
483
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Dirichlet Energy for Graphs, Derivation

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#graph-theory #convolution #neural-networks #graph-laplacian #dirichlet-convolution
779
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Laplacian matrix and the eigenvalue 0 of bipartite graphs with no perfect matching

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#graph-theory #graph-laplacian
107
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Effective resistance of weighted bipartite graph

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#graph-theory #random-walk #bipartite-graphs #graph-laplacian
807
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Laplacian of bipartite graph

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#graph-theory #bipartite-graphs #graph-laplacian
422
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What does it mean that a laplacian of directed graph has full rank?

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#graph-theory #numerical-methods #directed-graphs #graph-laplacian #multigrid
114
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Rank-one modification of a Laplacian as the Laplacian of a larger, weighted graph

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#graph-theory #spectral-graph-theory #graph-laplacian

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