Calculus on Graphs

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dc.creatorFriedman, Joel
dc.creatorTillich, Jean-Pierre
dc.date2004-08-12
dc.date.accessioned2026-07-07T03:21:39Z
dc.date.available2026-07-07T03:21:39Z
dc.descriptionThe purpose of this paper is to develop a "calculus" on graphs that allows graph theory to have new connections to analysis. For example, our framework gives rise to many new partial differential equations on graphs, most notably a new (Laplacian based) wave equation; this wave equation gives rise to a partial improvement on the Chung-Faber-Manteuffel diameter/eigenvalue bound in graph theory, and the Chung-Grigoryan-Yau and (in a certain case) Bobkov-Ledoux distance/eigenvalue bounds in analysis. Our framework also allows most techniques for the non-linear p-Laplacian in analysis to be easily carried over to graph theory.
dc.description63 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/cs/0408028
dc.identifierhttp://arxiv.org/abs/cs/0408028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32285
dc.subjectDiscrete Mathematics
dc.subjectCombinatorics
dc.subjectG.2.2
dc.titleCalculus on Graphs
dc.typetext

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