TITLE:
Some New Results on Prime Graphs
AUTHORS:
Samir K. Vaidya, Udayan M. Prajapati
KEYWORDS:
Prime Labeling; Prime Graph; Strongly Prime Graph
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.2 No.3,
July
18,
2012
ABSTRACT: We investigate prime labeling for some graphs resulted by identifying any two vertices of some graphs. We also introduce the concept of strongly prime graph and prove that the graphs Cn, Pn, and K1,n are strongly prime graphs. Moreover we prove that Wn is a strongly prime graph for every even integer n ≥ 4.