1Department of Mathematics, Shridevi Institute of Engineering and Technology, VTU, Belagavi, Tumakuru-572106, Karnataka, India
2Professor, Department of Mathematics, Acharya Institute of Technology, VTU, Belagavi, Banglore, Karnataka, India
Online published on 4 January, 2021.
Dominating functions in domination theory of graphs have interesting applications. The theory of domination in graphs was introduced by Ore [7] and Berge [1]. The concepts of dominating functions are introduced by Hedetniemi [6]. Rooted product graphs is a new concept introduced by Godsil [5] has become an inviting area of research at present. Anantha Lakshmi [15] has introduced new concepts of unidominating function of a graph and studied these functions for some standard graphs. In this paper the authors have presented unidominating function and unidomination number for rooted product graph of a path and cycle graph.
Unidominating function, Unidomination number, Rooted product graph
