Article ID Journal Published Year Pages File Type
4648719 Discrete Mathematics 2010 13 Pages PDF
Abstract

An important property of chordal graphs is that these graphs are characterized by the existence of perfect elimination orderings on their vertex sets. In this paper, we generalize the notion of perfect elimination orderings to signed graphs, and give a characterization for graphs admitting such orderings, together with characterizations restricted to some subclasses and further properties of those graphs. The definition of our generalized perfect elimination orderings is motivated by a generalization of the classical result that a so-called graphic hyperplane arrangement is free if and only if the corresponding graph is chordal.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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