SOME RESULTS ON GRACEFUL CENTERS OF Pn AND RELATED α-GRACEFUL GRAPHS
SOME RESULTS ON GRACEFUL CENTERS OF Pn AND RELATED α-GRACEFUL GRAPHS
H. M. Makadia, V. J. Kaneria, P. Andharia, D. Jadeja
[PDF]
Abstract
In this paper, we have proved that the graph obtained by joining two copies of a bipartite graceful graph by an edge with any two corresponding vertices of both the copies of graphs is -graceful. We also proved path step tree and path double step tree are -graceful and the graph Pm Pn P2 is -graceful. Graceful center of graceful graph de ned. We also found some some graceful centers of path Pn. Acharya and Gill [1] proved Pn Pm is -graceful. In this paper we proved its generalized result.
Keywords
Graceful center of a graceful graph, universal graceful graph, -graceful graph, Path step tree, Path double step tree.