defined by DI (G)= min {| S|+ m (GS)}, where S is a dominating set and m (GS) is the order of a maximum component of GS. This paper discusses domination integrity of line splitting graph and central graph of some graphs.
Abstract
The domination integrity of a connected graph G=(V (G); E (G)) is denoted as DI (G) and defined by DI (G)= min {| S|+ m (G-S)}, where S is a dominating set and m (GS) is the order of a maximum component of GS. This paper discusses domination integrity of line splitting graph and central graph of some graphs.