Domination Number in Iterated Line Digraph of a Complete Bipartite Digraph

Huiping Cai1,2, Juan Liu1, Jixiang Meng3
1College of Mathemetics Sciences, Xinjiang Normal University, Urumgi, Xinjiang, 880054, P.R.China
2Department of Mathematics, School of Sctence,Shihezi University, Shihezi,Xingiang 882008, P.R.China
3College of Mathematics and System Sciences, Xinjiang University, Urumgi, Xinjiang, 830046, P.R.China

Abstract

Let \(K_{d,d}\) be a complete bipartite digraph. In this paper, we determine the exact value of the domination number in iterated line digraph of \(K_{d,d}\).