A relation between the multiplicity of the second eigenvalue of a graph Laplacian, Courant's nodal line theorem and the substantial dimension of tight polyhedral surfaces

DOI10.13001/1081-3810.1204zbMath1213.05174arXiv1007.4132OpenAlexW1651280463MaRDI QIDQ3497895

Tsvi Tlusty

Publication date: 28 May 2008

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4132

zbMATH Keywords

eigenfunctionsnodal domainsgraph Laplaciantight embeddingpolyhedral manifolds

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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