41 search results - page 3 / 9 » Covering Graphs with Few Complete Bipartite Subgraphs |
JGT
2008
13 years 7 months ago
2008
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
COMGEO
2007
ACM
13 years 7 months ago
2007
ACM
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
JCT
2010
13 years 6 months ago
2010
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
DAM
2010
13 years 7 months ago
2010
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
MOR
2010
13 years 6 months ago
2010
We consider the mixed integer version of bipartite vertex cover. This is equivalent to the mixed integer network dual model, recently introduced in [2], that generalizes several m...