A majorization bound for the eigenvalues of some graph Laplacians

dc.creatorStephen, Tamon
dc.date2004-11-07
dc.date.accessioned2026-07-07T05:14:03Z
dc.date.available2026-07-07T05:14:03Z
dc.descriptionIt is conjectured that the Laplacian spectrum of a graph is majorized by its conjugate degree sequence. In this paper, we prove that this majorization holds for a class of graphs including trees. We also show that a generalization of this conjecture to graphs with Dirichlet boundary conditions is equivalent to the original conjecture.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0411153
dc.identifierhttp://arxiv.org/abs/math/0411153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73136
dc.subjectCombinatorics
dc.subject05C50
dc.titleA majorization bound for the eigenvalues of some graph Laplacians
dc.typetext

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