A characterization of signed graphs with generalized perfect elimination orderings

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)819-831
ページ数13
ジャーナルDiscrete Mathematics
310
4
DOI
出版ステータス出版済み - 2 28 2010
外部発表はい

All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • 離散数学と組合せ数学

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