Title
Excluding pairs of graphs.
Abstract
For a graph G and a set of graphs H, we say that G is H-free if no induced subgraph of G is isomorphic to a member of H. Given an integer P>0, a graph G, and a set of graphs F, we say that G admits an (F,P)-partition if the vertex set of G can be partitioned into P subsets X1,…,XP, so that for every i∈{1,…,P}, either |Xi|=1, or the subgraph of G induced by Xi is {F}-free for some F∈F.
Year
DOI
Venue
2014
10.1016/j.jctb.2014.01.001
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Induced subgraphs,Ramsey theorem,Cograph
Discrete mathematics,Combinatorics,Disjoint sets,Graph factorization,Induced path,Clique-sum,Induced subgraph,Cograph,Pathwidth,Universal graph,Mathematics
Journal
Volume
ISSN
Citations 
106
0095-8956
3
PageRank 
References 
Authors
0.61
2
3
Name
Order
Citations
PageRank
Maria Chudnovsky139046.13
Alex Scott225140.93
Paul D. Seymour32786314.49