Title
More on decompositions of edge-colored complete graphs
Abstract
Let G be a family of graphs whose edges are colored with elements from a set R of r colors. We assume no two vertices of G are joined by more than one edge of color i for any i@?R, for each G@?G. K\"n^(^r^) will denote the complete graph with r edges joining any pair of distinct vertices, one of each of the r colors. We describe necessary and asymptotically sufficient conditions on n for the existence of a family D of subgraphs of K\"n^(^r^), each of which is an isomorphic copy of some graph in G, so that each edge of K\"n^(^r^) appears in exactly one of the subgraphs in D.
Year
DOI
Venue
2008
10.1016/j.disc.2007.08.044
Discrete Mathematics
Keywords
Field
DocType
05b20,05b05,05d10,edge-colored,complete graph,decomposition,edge coloring
Discrete mathematics,Complete graph,Graph,Combinatorics,Colored,Vertex (geometry),Graph isomorphism,Decomposition method (constraint satisfaction),Isomorphism,Mathematics
Journal
Volume
Issue
ISSN
308
14
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Anna Draganova120.74
Yukiyasu Mutoh2132.37
Richard M. Wilson3697340.86