A Characterization of Signed Graphs with Generalized Perfect Elimination Orderings

Mathematics – Combinatorics

Scientific paper

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18 pages; (v2) Reference updated (v3) Major update including title change, shortening of proof of main theorem, addition of ap

Scientific paper

An important property of chordal graphs is that these graphs are characterized by 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.

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