Title
Quadripartite version of the Hajnal-Szemerédi theorem
Abstract
Let G be a quadripartite graph with N vertices in each vertex class and each vertex is adjacent to at least (34)N vertices in each of the other classes. There exists an N\"0 such that, if N=N\"0, then G contains a subgraph that consists of N vertex-disjoint copies of K\"4.
Year
DOI
Venue
2008
10.1016/j.disc.2007.08.019
Discrete Mathematics
Keywords
Field
DocType
graph packing,hajnal–szemerédi,regularity lemma,hajnal-szemerédi
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Existential quantification,Vertex (graph theory),Graph packing,Neighbourhood (graph theory),Mathematics
Journal
Volume
Issue
ISSN
308
19
Discrete Mathematics
Citations 
PageRank 
References 
9
0.59
5
Authors
2
Name
Order
Citations
PageRank
Ryan Martin114414.43
Endre Szemerédi22102363.27