Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647151 | Discrete Mathematics | 2015 | 8 Pages |
Abstract
Let Ck denote a cycle of length k, and let Sk denote a star with k edges. For multigraphs F, G, and H, a decomposition of F is a set of edge-disjoint subgraphs of F whose union is F, and a (G,H)-decomposition of F is a decomposition of F into copies of G and H using at least one of each. In this paper, necessary and sufficient conditions for the existence of a (Ck,Sk)-decomposition of the complete bipartite multigraph are given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hung-Chih Lee,