A Study on Power Mean Labeling of the Graphs and Vertex Odd Power Mean Labeling of Graphs

This paper we discuss with power mean labeling of graph and Vertex Odd Power Mean Labeling of Graphs. A graph = , is referred as Power Mean graph with , q , if it is feasible to label the vertices with different elements from 1, 2, 3, ..., 1 in such a way that when each edge = is labeled with f e=uv = f u f v f v f u 1 f u f v In this paper we define Vertex Odd Power Mean labeling and investigate the same for some graphs. We define Vertex Odd Power Mean labeling for the graph G V, E with vertices and q edges, if it is feasible to label the vertices with different labelings f from {1, 3, 5, ..., 2 – 1} in such a way that when each edge = is labeled with f e=uv = f u f v f v f u 1 f u f v or f e=uv = f u f v f v f u 1 f u f v and the edge labeling are distinct. The graph which admits the Vertex Odd Power Mean labeling, is called Vertex Odd Power Mean graph. B. Kavitha | Dr. C. Vimala "A Study on Power Mean Labeling of the Graphs and Vertex Odd Power Mean Labeling of Graphs" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, URL: https://www.ijtsrd.com/papers/ijtsrd38116.pdf Paper URL : https://www.ijtsrd.com/mathemetics/applied-mathematics/38116/a-study-on-power-mean-labeling-of-the-graphs-and-vertex-odd-power-mean-labeling-of-graphs/b-kavitha