Eccentric Neighbourhood Topological Indices Of Helm Related Graphs

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

doi:10.53555/sfs.v10i3.3293

Authors

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

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.

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.

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.