On Edge-Szeged & G/A Edge-Szeged Index of Standard Graphs

	International Journal of P2P Network Trends and Technology (IJPTT)
	© 2015 by IJPTT Journal
	Volume - 5 Issue - 5
	Year of Publication : 2015
	Authors : K.V.S. Sarma, I.H. Nagaraja Rao, I.V.N.Uma
	DOI :  10.14445/22492615/IJPTT-V21P401

Citation

K.V.S. Sarma, I.H. Nagaraja Rao, I.V.N.Uma "On Edge-Szeged & G/A Edge-Szeged Index of Standard Graphs". International Journal of P2P Network Trends and Technology (IJPTT), V5(5):1-12 Sep - Oct 2015, ISSN:2249-2615, www.ijpttjournal.org, Published by Seventh Sense Research Group.

Abstract

Wiener Index (see [6]) is the first topological index based on graph-distances. The next significant index is due to Gutman (see [3]) based on the nearity of vertices relative to the edges of the graph. Further, the Geometric/Arthimetic – mean index corresponding to the Wiener index (see [2 ]) is also considered. The present work is an analogue to edges.

References

[1] Bondy J.A. and Murthy U.S.R., Graph Theory with Applications, North Holand, New York, 1976.
[2] G. H. Fath-Tabar, B. Fortula and I. Gutman, A new gemetricarthimetic index, J. Math. Chem., (2009) DOI:10.1007/s10910-009-9584-7.
[3] Gutman, A formula for the Wiener number of trees and its extension to graphs containing cycles, Graph theory Notes, New York, 27, (1994), 9-15.
[4] Rao I.H.N. and Sarma K.V.S., On Tensor Product of Standard Graphs, International Jour. of Computational Cogination, 8(3), (2010), 99-103.
[5] Sampath Kumar, E., On Tensor Product Graphs, International Jour. Aust. Math. Soc., 20 (Series) (1975), 268-273.
[6] Wiener, H., Structural Determination of Paraffin Boiling Points, Jour. Amer. Chemi. Soc., 69 (1947), 17-40.

Keywords
Szeged Index, G/A – Szeged index, edge Szeged index and G/A – edge Szeged index.