Wave equations for graphs and the edge-based Laplacian
Joel FriedmanInria Projet Codes Domaine de Voluceau BP.105 78153 FranceJean–Pierre TillichInria Projet Codes Domaine de Voluceau BP.105 78153 France
2004en
ABI
Abstract
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.
Identifiers
Citations and references
Cited by 30 references