Graph domination in rooted products: equitable and outdegree equitable approaches

Abstract

In this paper, equitability related domination parameters such as equitable domination number and outdegree equitable domination number are investigated in the context of rooted product of graphs. Obtained a lower bound for the equitable domination number of rooted product of graphs. Obtained upper as well as lower bound for the outdegree equitable domination number of rooted product of graphs. Some particular rooted product of graphs are examined in detail.