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» Polarity of chordal graphs
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UAI
2008
13 years 9 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 2 months 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 11 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 7 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 7 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...