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» Polarity of chordal graphs
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JGT
2006
70views more  JGT 2006»
13 years 7 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
ICALP
2009
Springer
14 years 7 months ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin
WG
2007
Springer
14 years 1 months ago
Complexity and Approximation Results for the Connected Vertex Cover Problem
We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
Bruno Escoffier, Laurent Gourvès, Jé...
ANOR
2005
160views more  ANOR 2005»
13 years 7 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...
FCT
2009
Springer
14 years 2 months ago
Computing Role Assignments of Chordal Graphs
In social network theory, a simple graph G is called k-role assignable if there is a surjective mapping that assigns a number from {1, . . . , k} called a role to each vertex of G ...
Pim van 't Hof, Daniël Paulusma, Johan M. M. ...