International Journal of Applied Information Systems |
Foundation of Computer Science (FCS), NY, USA |
Volume 12 - Number 26 |
Year of Publication: 2019 |
Authors: B. Aruna, B. Maheswari |
10.5120/ijais2019451829 |
B. Aruna, B. Maheswari . Unidominating Functions of Corona Product Graph of a Complete Graph with a Wheel. International Journal of Applied Information Systems. 12, 26 ( December 2019), 6-9. DOI=10.5120/ijais2019451829
Graph Theory is the fast growing area of research in Mathematics it has wide applications to several fields - like computer science, social sciences, Science and Technology, etc. Recently, Dominating functions in domination theory playing a key role as they have interesting applications. The theory of domination in graphs introduced by Ore [7] and Berge [2] is an attractive area of research in graph theory in the last three decades. The concepts of dominating functions are introduced by Hedetniemi [4]. Corona product graphs is a new concept introduced by Frucht and Harary [3] has become an inviting area of research at present. Anantha Lakshmi [1] has introduced new concepts unidomination, upper unidomination, minimal unidominating function of a graph and studied these functions for some standard graphs. In this paper the authors have studied the concept of unidominating function and upper unidomination number for corona product graph ? K?_n ? W_(1,m) and determined the unidomination number and upper unidomination number for ? K?_n ? W_(1,m). Also the number of unidominating functions of minimum weight is found.