Eccentric Neighbourhood Topological Indices Of Helm Related Graphs

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Published: Sep 25, 2023
DOI: https://doi.org/10.53555/sfs.v10i3.3293
Keywords:
Eccentricity neighbourhood degree Eccentric neighbourhood topological indices line graph middle graph total graph Helm graph.

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S. Durai Raj
K.P.L. Ajai Krishna

Abstract

Let  be a simple graph. The eccentricity  of a vertex  is the maximum distance between  and any other vertex  in . We denote  be the eccentricity neighbourhood  degree of u. In this article, we found the formula to calculate some eccentric neighbourhood Topological indices of line graph, middle graph and total graph of Helm graph.


 

Article Details

Issue
Vol. 10 No. 3 (2023)
Section
Articles
Author Biographies

S. Durai Raj

Principal and Associate Professor (Rtd), Department of Mathematics, Pioneer Kumaraswamy College, Nagercoil – 629003, Tamil Nadu, India.

K.P.L. Ajai Krishna

Research Scholar, Registration No.: 21213132091001, Department of Mathematics, Pioneer Kumaraswamy College, Nagercoil – 629003, Tamil Nadu, India.