Title
Cycles Avoiding a Color in Colorful Graphs
Abstract
The Ramsey numbers of cycles imply that every 2-edge-colored complete graph on n vertices contains monochromatic cycles of all lengths between 4 and at least . We generalize this result to colors by showing that every k-edge-colored complete graph on vertices contains -edge-colored cycles of all lengths between 3 and at least .
Year
DOI
Venue
2016
10.1002/jgt.21879
Journal of Graph Theory
Keywords
Field
DocType
ramsey numbers
Discrete mathematics,Complete graph,Graph,Combinatorics,Monochromatic color,Vertex (geometry),Ramsey's theorem,Mathematics,Pancyclic graph
Journal
Volume
Issue
ISSN
81
4
0364-9024
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Dirk Meierling15611.55
Janina Müttel262.87
Dieter Rautenbach3946138.87