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» Polarity of chordal graphs
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UAI
2008
13 years 7 months ago
Learning Inclusion-Optimal Chordal Graphs
Chordal graphs can be used to encode dependency models that are representable by both directed acyclic and undirected graphs. This paper discusses a very simple and efficient algo...
Vincent Auvray, Louis Wehenkel
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
14 years 6 days ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca
WG
1993
Springer
13 years 9 months ago
Dually Chordal Graphs
Recently in several papers, graphs with maximum neighborhood orderings were characterized and turned out to be algorithmically useful. This paper gives a unified framework for cha...
Andreas Brandstädt, Feodor F. Dragan, Victor ...
ALGORITHMICA
2004
112views more  ALGORITHMICA 2004»
13 years 5 months ago
Maximum Cardinality Search for Computing Minimal Triangulations of Graphs
Abstract. We present a new algorithm, called MCS-M, for computing minimal triangulations of graphs. LexBFS, a seminal algorithm for recognizing chordal graphs, was the genesis for ...
Anne Berry, Jean R. S. Blair, Pinar Heggernes, Bar...
DAM
2000
121views more  DAM 2000»
13 years 5 months ago
Chordality and 2-factors in Tough Graphs
A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved t...
Douglas Bauer, Gyula Y. Katona, Dieter Kratsch, He...