Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648425 | Discrete Mathematics | 2009 | 6 Pages |
Abstract
A subgraph in an edge-colored graph is multicolored if all its edges receive distinct colors. In this paper, we prove that a complete graph on 2m+12m+1 vertices K2m+1K2m+1 can be properly edge-colored with 2m+12m+1 colors in such a way that the edges of K2m+1K2m+1 can be partitioned into mm multicolored Hamiltonian cycles.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hung-Lin Fu, Yuan-Hsun Lo,