###### HERONIAN MEAN LABELING OF SOME NEW GRAPHS

**Periyaswamy**

PG and Research Department of Mathematics, A.V.C College (Autonomous), annampandal-609305, Mayiladuthurai, Tamil Nadu, India, Affiliated to Annamalai University

Mail Id: jperiaswamy@gmail.com

**Abstract : **A graph with vertices and edges is said to be a heronian mean graph if it is possible to label the vertices with distinct labels from in such a way that when each edge is labeled with then the edge labels are distinct. In this case, is called heronian mean labeling of In this paper, we proved we prove that some new graphs such as Path union of two cycles , Path union of two cycles , Path union of two crowns and Path union of two crowns all are heronian mean graphs.

**Keywords: **Graph, Heronian mean graph, Path, Cycle, Crown.

**Mathematics subject classification: 05C78.**