International Journal of Applied Information Systems |
Foundation of Computer Science (FCS), NY, USA |
Volume 5 - Number 9 |
Year of Publication: 2013 |
Authors: S. Murugesan, D. Jayaraman, J. Shiama |
10.5120/ijais13-450974 |
S. Murugesan, D. Jayaraman, J. Shiama . 3-Equitable Prime Cordial Labeling of Graphs. International Journal of Applied Information Systems. 5, 9 ( July 2013), 1-4. DOI=10.5120/ijais13-450974
A 3-equitable prime cordial labeling of a graphGwith vertex set V is a bijection f from V to f1; 2; :::; jV jg such that if an edge uv is assigned the label 1 if gcd(f(u); f(v)) = 1 and gcd(f(u) + f(v); f(u). . f(v)) = 1, the label 2 if gcd(f(u); f(v)) = 1 and gcd(f(u) + f(v); f(u) . . f(v)) = 2 and 0 otherwise, then the number of edges labeled with i and the number of edges labeled with j differ by atmost 1 for 0 i; j 2. If a graph has a 3-equitable prime cordial labeling, then it is called a 3-equitable prime cordial graph. In this paper, we investigate the 3-equitable prime cordial labeling behaviour of paths, cycles, star graphs and complete graphs.