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» Edge clique graphs and some classes of chordal graphs
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93
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JAL
2006
114views more  JAL 2006»
14 years 11 months ago
A wide-range algorithm for minimal triangulation from an arbitrary ordering
We present a new algorithm, called LB-Triang, which computes minimal triangulations. We give both a straightforward O(nm0) time implementation and a more involved O(nm) time imple...
Anne Berry, Jean Paul Bordat, Pinar Heggernes, Gen...
76
Voted
DAM
2002
76views more  DAM 2002»
14 years 11 months ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
88
Voted
JGT
2006
70views more  JGT 2006»
14 years 11 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
ANOR
2005
160views more  ANOR 2005»
14 years 11 months ago
Packing r-Cliques in Weighted Chordal Graphs
In Hell et al. (2004), we have previously observed that, in a chordal graph G, the maximum number of independent r-cliques (i.e., of vertex disjoint subgraphs of G, each isomorphic...
Pavol Hell, Sulamita Klein, Loana Tito Nogueira, F...
IWPEC
2004
Springer
15 years 5 months ago
Parameterized Coloring Problems on Chordal Graphs
In the precoloring extension problem (PrExt) a graph is given with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to...
Dániel Marx