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» Graph Classes Between Parity and Distance-hereditary Graphs
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JCT
2006
79views more  JCT 2006»
13 years 7 months ago
A class of perfectly contractile graphs
We consider the class A of graphs that contain no odd hole, no antihole, and no "prism" (a graph consisting of two disjoint triangles with three disjoint paths between th...
Frédéric Maffray, Nicolas Trotignon
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 7 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic
MFCS
2007
Springer
14 years 1 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
Paul S. Bonsma, Luis Cereceda
TCS
1998
13 years 7 months ago
A Partial k-Arboretum of Graphs with Bounded Treewidth
The notion of treewidth has seen to be a powerful vehicle for many graph algorithmic studies. This survey paper wants to give an overview of many classes of graphs that can be see...
Hans L. Bodlaender
COCOON
2008
Springer
13 years 9 months ago
Probe Ptolemaic Graphs
Given a class of graphs, G, a graph G is a probe graph of G if its vertices can be partitioned into two sets, P (the probes) and N (the nonprobes), where N is an independent set, s...
David B. Chandler, Maw-Shang Chang, Ton Kloks, Van...