Journal article

DECOMPOSABLE GRAPHS AND HYPERGRAPHS

SL LAURITZEN, TP SPEED, K VIJAYAN

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | AUSTRALIAN MATHEMATICS PUBL ASSOC INC | Published : 1984

Abstract

AbstractWe define and investigate the notion of a decomposable hypergraph, showing that such a hypergraph always is conformal, that is, can be viewed as the class of maximal cliques of a graph. We further show that the clique hypergraph of a graph is decomposable if and only if the graph is triangulated and characterise such graphs in terms of a combinatorial identity.

University of Melbourne Researchers