Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 1


Published
on

June 28, 2019


Pages

163-168


DOI

Article

New composition of graphs and their Wiener Indices


Authors

Shanu Goyal Affiliation:
Department of Mathematics & Statistics, Banasthali University, Banasthali-304022, Rajasthan, India
, Pravin Garg Affiliation:
Department of Mathematics, University of Rajasthan, Jaipur-302004, Jaipur, Rajasthan, India
and Vishnu Narayan Mishra Affiliation:
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484887, Madhya Pradesh, Amarkantak, India


Abstract

In this paper, we define new graph operations F-composition F (G)[H], where F (G) be one of the symbols S(G),M(G),Q(G),T(G),Λ(G),Λ[G],D2(G),D2[G]. Further, we give some results for the Wiener indices of the these graph operations.


Keywords

Wiener index, composition of two graphs, total graph, splitting graph, shadowgraph, 05C12, 05C76


Citation

Goyal, S., Garg, P., & Mishra, V. N. (2019). New composition of graphs and their wiener indices. Applied Mathematics and Nonlinear Sciences, 4(1), 163–168. https://doi.org/10.2478/AMNS.2019.1.00016

Published by: Engineering Journals

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