Packing Balanced Complete Multipartite Graphs with Hexagons

Hung-Lin Fu1, Ming-Hway Huang1
1Department of Applied Mathematics National Chiao Tung University Hsinchu, Taiwan, R.O.C.

Abstract

In this paper, we completely solve the problem of finding a maximum packing of any balanced complete multipartite graph \(K_{m}(n)\) with edge-disjoint \(6\)-cycles, and minimum leaves are explicitly given.

Subsequently, we also find a minimum covering of \(K_{m}(n)\).