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Sherman-Morrison formula for non-invertible bmatrices

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#linear-algebra #matrices #pseudoinverse #graph-laplacian
609
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Is the Perturbed Laplacian Matrix positive Definite?

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#linear-algebra #matrices #matrix-equations #quadratic-forms #graph-laplacian
116
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Is the following fact for laplace matrix true? And how to prove it?

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#linear-algebra #matrices #control-theory #algebraic-graph-theory #graph-laplacian
36
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Proving an inequality on commute times of two different weight functions

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#probability-theory #random-walk #graph-laplacian
751
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What is the origin of negative eigenvalues for Laplacian matrix?

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#eigenvalues-eigenvectors #python #graph-laplacian
131
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Does a Laplacian matrix characterize a Graph?

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#graph-theory #algebraic-graph-theory #graph-laplacian
802
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Does the largest eigenvalue give the order of the largest connected component?

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#graph-theory #eigenvalues-eigenvectors #laplacian #graph-laplacian
747
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Prove that grounded Laplacian/reduced conductance matrix is non-singular

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#linear-algebra #graph-theory #graph-laplacian
138
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SVD with Laplacian regularization and $L_{1,2}$ group-norm

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#optimization #convex-optimization #regularization #graph-laplacian
416
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Why eigenvalues of a symmetric matrix with zero row sum are not affected with this special manipulation?

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#eigenvalues-eigenvectors #matrix-decomposition #symmetric-matrices #graph-laplacian
341
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Determinant of Laplacian removing $2$ (or more) rows and columns

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#linear-algebra #combinatorics #graph-theory #graph-laplacian
611
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Why the second smallest eigenvalue of the Laplacian of a tree is $\leq1$

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#graph-theory #eigenvalues-eigenvectors #algebraic-graph-theory #spectral-graph-theory #graph-laplacian
1.2k
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Proof that the Laplacian matrix of a complex weighted graph is positive semi-definite.

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#graph-theory #graph-laplacian
724
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Moore-Penrose psuedoinverse of Laplacian

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#graph-theory #numerical-linear-algebra #pseudoinverse #graph-laplacian #sparse-matrices
85
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Is it possible that $L+L^T$ is a positive definite matrix?

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#linear-algebra #matrices #graph-theory #positive-definite #graph-laplacian

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