Title
Monochromatic tree covers and Ramsey numbers for set-coloured graphs.
Abstract
We consider a generalisation of the classical Ramsey theory setting to a setting where each of the edges of the underlying host graph is coloured with a set of colours (instead of just one colour). We give bounds for monochromatic tree covers in this setting, both for an underlying complete graph, and an underlying complete bipartite graph. We also discuss a generalisation of Ramsey numbers to our setting and propose some other new directions.
Year
DOI
Venue
2018
10.1016/j.disc.2017.08.038
Discrete Mathematics
Field
DocType
Volume
Ramsey theory,Complete bipartite graph,Complete graph,Discrete mathematics,Combinatorics,Generalization,Constraint graph,Transversal (geometry),Ramsey's theorem,Conjecture,Mathematics
Journal
341
Issue
ISSN
Citations 
1
0012-365X
0
PageRank 
References 
Authors
0.34
12
2
Name
Order
Citations
PageRank
Sebastián Bustamante102.03
maya stein28115.65