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» Detecting induced subgraphs
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WG
2004
Springer
14 years 1 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
CJCDGCGT
2005
Springer
13 years 10 months ago
Fractional Vertex Arboricity of Graphs
The vertex arboricity va(G) of a graph G is the minimum number of subsets into which the vertex set V (G) can be partitioned so that each subset induces an acyclic subgraph. The f...
Qinglin Yu, Lian-Cui Zuo
ARSCOM
2007
115views more  ARSCOM 2007»
13 years 8 months ago
Minimal Universal Bipartite Graphs
A graph U is (induced)-universal for a class of graphs X if every member of X is contained in U as an induced subgraph. We study the problem of finding a universal graph with min...
Vadim V. Lozin, Gábor Rudolf
DCG
2008
82views more  DCG 2008»
13 years 8 months ago
Visibility Graphs of Point Sets in the Plane
The visibility graph V(X) of a discrete point set X R2 has vertex set X and an edge xy for every two points x, y X whenever there is no other point in X on the line segment betw...
Florian Pfender
COMBINATORICA
2006
70views more  COMBINATORICA 2006»
13 years 8 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,...