Title
Induced Subgraphs of Graphs with Large Chromatic Number. III. Long Holes.
Abstract
We prove a 1985 conjecture of Gyárfás that for all k, ℓ, every graph with sufficiently large chromatic number contains either a clique of cardinality more than k or an induced cycle of length more than ℓ.
Year
DOI
Venue
2017
10.1007/s00493-016-3467-x
Combinatorica
Keywords
Field
DocType
05C15, 05C17
Discrete mathematics,Graph,Combinatorics,Chromatic scale,Vertex (geometry),Conjecture,Mathematics
Journal
Volume
Issue
ISSN
37
6
0209-9683
Citations 
PageRank 
References 
6
0.99
2
Authors
3
Name
Order
Citations
PageRank
Maria Chudnovsky139046.13
Alex Scott225140.93
Paul D. Seymour32786314.49