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Wave equations for
graphs and the edge-based Laplacian
Joel Friedman and Jean-Pierre Tillich |
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Vol. 216 (2004), No. 2, 229–266
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Abstract |
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In this paper we develop a wave equation for graphs that has many of the properties of the classical Laplacian wave equation. This wave equation is based on a type of graph Laplacian we call the “edge-based” Laplacian. We give some applications of this wave equation to eigenvalue/geometry inequalities on graphs. |
Milestones
Received: 24 May 2002
Published: 1 October 2004
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Authors |
| Joel Friedman | |
| Departments of Computer Science and
Mathematics University of British Columbia Vancouver BC V6T 1Z4 Canada |
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| Jean-Pierre Tillich | |
| Inria Projet Codes Domaine de Voluceau BP.105 78153 France |
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