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2015-08-21T16:28:39.000Z | Calculus on Graphs (2004) | http://arxiv.org/abs/cs/0408028 | skeuomorf | 80 | 6 | 1440174519 |
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[cs/0408028] Calculus on Graphs
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Joel Friedman
Jean-Pierre Tillich
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Computer Science > Discrete Mathematics
Title: Calculus on Graphs
Authors: Joel Friedman, Jean-Pierre Tillich
(Submitted on 12 Aug 2004)
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.
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| Comments: | 63 pages, LaTeX |
| Subjects: | Discrete Mathematics (cs.DM); Combinatorics (math.CO) |
| ACM classes: | G.2.2 |
| Cite as: | arXiv:cs/0408028 [cs.DM] |
| | (or arXiv:cs/0408028v1 [cs.DM] for this version) |
Submission history
From: Joel Friedman [view email]
[v1] Thu, 12 Aug 2004 18:04:23 GMT (46kb)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
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[*ACM]: Association of Computing Machinery Classification