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WG
2004
Springer
15 years 8 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
15 years 5 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»
15 years 3 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»
15 years 3 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»
15 years 3 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,...