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» Vertex partitions of chordal graphs
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JGT
2006
70views more  JGT 2006»
13 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
DM
2006
87views more  DM 2006»
13 years 11 months ago
A vertex incremental approach for maintaining chordality
For a chordal graph G = (V, E), we study the problem of whether a new vertex u V and a given set of edges between u and vertices in V can be added to G so that the resulting grap...
Anne Berry, Pinar Heggernes, Yngve Villanger
WG
2007
Springer
14 years 5 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...
WALCOM
2010
IEEE
351views Algorithms» more  WALCOM 2010»
13 years 9 months ago
Pathwidth and Searching in Parameterized Threshold Graphs
Treewidth and pathwidth are important graph parameters that represent how close the graph is to trees and paths respectively. We calculate treewidth and pathwidth on parameterized ...
D. Sai Krishna, T. V. Thirumala Reddy, B. Sai Shas...
IPL
2006
87views more  IPL 2006»
13 years 11 months ago
Vertex rankings of chordal graphs and weighted trees
: In this paper we consider the vertex ranking problem of weighted trees. We show that this problem is strongly NP-hard. We also give a polynomial-time reduction from the problem o...
Dariusz Dereniowski, Adam Nadolski