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COMBINATORICA
2006
70views more  COMBINATORICA 2006»
13 years 7 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,...
FSTTCS
2010
Springer
13 years 5 months ago
Finding Independent Sets in Unions of Perfect Graphs
ABSTRACT. The maximum independent set problem (MAXIS) on general graphs is known to be NPhard to approximate within a factor of n1-, for any > 0. However, there are many "...
Venkatesan T. Chakaravarthy, Vinayaka Pandit, Samb...
SIAMDM
2008
143views more  SIAMDM 2008»
13 years 7 months ago
Coloring Bull-Free Perfectly Contractile Graphs
We consider the class of graphs that contain no bull, no odd hole, and no antihole of length at least five. We present a new algorithm that colors optimally the vertices of every g...
Benjamin Lévêque, Frédé...
STACS
2007
Springer
14 years 1 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
GC
2007
Springer
13 years 7 months ago
Precoloring Extension of Co-Meyniel Graphs
The pre-coloring extension problem consists, given a graph G and a set of nodes to which some colors are already assigned, in finding a coloring of G with the minimum number of co...
Vincent Jost, Benjamin Lévêque, Fr&ea...