Radio Mean and Radio Antipodal Mean Labeling of Circulant Graphs G(4K + 2,{1,2})

Authors

R. Gomathy
Department of Education, Sri Muthukumaran College of Education, Tamilnadu Teacher’s Education University, Chennai
T. Arputha Jose
Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai

Synopsis

Let V be the vertex set and E be the edge set for the graph G = (V,E). Here  represents the shortest distance between any pair of vertices  and and  denotes the diameter of. A one-to-one map f from the vertex set V(G) to t is what is known as a radio mean labeling of a connected graph G,that for two distinct vertices  and  of , . The Radio mean number of, denoted by  is a maximum number assigned to any vertex of . The radio mean number of , denoted by  is the minimum value of  taken over all radio mean labeling  of . The radio antipodal mean labeling of a graph  is a function  that assigns to each vertex , a non-negative integer  such that  if  and . The radio antipodal mean number of, denoted by  is the maximum number assigned to any vertex of . The radio antipodal mean number of, denoted by  is the minimum value of   taken overall antipodal mean labeling  of . In this paper, the radio mean number and radio antipodal mean number of the Circulant graphs  has been obtained.

ICRTMCS-2023
Published
October 19, 2023