Isolate and independent domination number of some classes of graphs

Abstract

In this paper we compute isolate domination number and independent domination number of some well known classes of graphs. Also a counter example is provided, which disprove the result on independent domination for Euler Totient Cayley graph proved by Uma Maheswari and B. Maheswari and improved it for some sub cases.

Keywords

• domination number
• isolate domination number
• independent domination number
• euler totient