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» Skew partitions in perfect graphs
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DAM
2008
63views more  DAM 2008»
13 years 5 months ago
Skew partitions in perfect graphs
We discuss some new and old results about skew partitions in perfect graphs.
Bruce A. Reed
COMBINATORICA
2006
70views more  COMBINATORICA 2006»
13 years 5 months ago
Decomposing Berge Graphs Containing No Proper Wheel, Long Prism Or Their Complements
In this paper we show that, if G is a Berge graph such that neither G nor its complement G contains certain induced subgraphs, named proper wheels and long prisms, then either G i...
Michele Conforti, Gérard Cornuéjols,...
JCT
2008
109views more  JCT 2008»
13 years 5 months ago
Decomposing Berge graphs and detecting balanced skew partitions
A hole in a graph is an induced cycle on at least four vertices. A graph is Berge if it has no odd hole and if its complement has no odd hole. In 2002, Chudnovsky, Robertson, Seym...
Nicolas Trotignon
SIAMDM
2000
77views more  SIAMDM 2000»
13 years 4 months ago
Recognizing Perfect 2-Split Graphs
A graph is a split graph if its vertices can be partitioned into a clique and a stable set. A graph is a k-split graph if its vertices can be partitioned into k sets, each of which...
Chính T. Hoàng, Van Bang Le
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
13 years 11 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet