Isolate Detour Eccentric Domination in Graphs

Document Type : Primary Research paper


1 Department of mathematics Dhanalakshmi Srinivasan Engineering College (Affiliatd to Anna university) Perambalur, India

2 Department of mathematics Jamal Mohammed College (Affiliatd to Bharathidasan university) Tiruchirappalli, India


In this paper, the isolate detour eccentric point set and isolate detour eccentric dominating sets and their numbers are defined with examples. Also the isolate detour eccentric domination number of a graph is obtained for some standard graphs. Some theorems related to isolate detour eccentric dominating sets are stated and proved.