Article ID Journal Published Year Pages File Type
4648425 Discrete Mathematics 2009 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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