Mathematics – Combinatorics
Scientific paper
2007-12-26
Discrete Mathematics vol.310, no.4 (2010) 819-831
Mathematics
Combinatorics
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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