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• W1628231727 abstract "The 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." @default.
• W1628231727 created "2016-06-24" @default.
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• W1628231727 date "2004-08-12" @default.
• W1628231727 modified "2023-10-01" @default.
• W1628231727 title "Calculus on Graphs" @default.
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