Advances and Applications in Discrete Mathematics
© 2019 Pushpa Publishing House, Prayagraj, India
http://www.pphmj.com
http://dx.doi.org/10.17654/DM022020127
Volume 22, Number 2, 2019, Pages 127-137 ISSN: 0974-1658
Received: March 28, 2019; Revised: July 15, 2019; Accepted: August 16, 2019
2010 Mathematics Subject Classification: 05C05, 05C35, 05C12.
Keywords and phrases: Dutch windmill graph, line graph, subdivision graph, derived graph,
adriatic indices.
SOME ADRIATIC INDICES OF DUTCH WINDMILL
GRAPH USING GRAPH OPERATOR
V. Lokesha, Sushmitha Jain and M. Manjunath
Department of Studies in Mathematics
Vijayanagara Sri Krishnadevaraya University
Ballari, India
e-mail: v.lokesha@gmail.com
sushmithajain9@gmail.com
manju3479@gmail.com
Abstract
The study of discrete adriatic indices is currently one of the most
active research fields in chemical graph theory. The present article
focusing the investigation on generalized version of Dutch windmill
graph of some graph operators using adriatic indices.
1. Introduction and Preliminaries
A topological index is a numerical number which is used to predict
various physical, biological and chemical activities such as surface tension,
density, melting point, a heat of evaporation and the boiling point of the
involved chemical compound. Moreover, it studies quantitative structure-
activity relationships (QSAR) and structure-property relationships (QSPR)
that are used in the subject of cheminformatics [3, 10, 18].