Article ID Journal Published Year Pages File Type
1707744 Applied Mathematics Letters 2015 6 Pages PDF
Abstract

In this paper we consider systems of transport and diffusion problems on one-dimensional domains coupled through transmission type boundary conditions at the endpoints and determine what types of such problems can be identified with respective problems on metric graphs. For the transport problem the answer is provided by a reformulation of a graph theoretic result characterizing line digraphs of a digraph, whereas in the case of diffusion the answer is provided by an algebraic characterization of matrices which are adjacency matrices of line graphs, which complements known results from graph theory and is particularly suitable for this application.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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