Maximum Packing of \(D_t-P\) and \(D_t\cup{P}\) with Mendelsohn Triples

Liqun Pu1, Hung-Lin Fu2, Hao Shen3
1Department of Mathematics, Zhengzhou University, Henan, China 450052
2Department of Applied Mathematics, National Chiao Tung University, Hsin Chu, Taiwan 30050
3Department of Applied Mathematics, Shanghai Jiao Tong University Shanghai, China 200240

Abstract

In this paper, we extend the study on packing and covering of complete directed graph \(D_t\) with Mendelsohn triples \([6]\). Mainly, the maximum packing of \(D_t-P\) and \(D_t\cup{P}\) with Mendelsohn triples are obtained respectively, where \(P\) is a vertex-disjoint union of directed cycles in \(D_t\).