$\mathcal{S}$-INDEX OF CERTAIN LINE GRAPH OF SUBDIVISION GRAPHS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 257

Volume : 16 , Issue : 3
DOI:
Author :
Balachandra P. (Department of Mathematics, S. J. B. I. T. BGS Health and Education City, Bengaluru - 560060, INDIA)
Padmaja V. (Department of Mathematics, S. J. B. I. T. BGS Health and Education City, Bengaluru - 560060, INDIA)
Shanmukha B. (Department of Mathematics, P. E. S. College, Mandya, Karnataka - 571401, INDIA)
Manjunath N. (Department of Sciences and Humanities, School of Engineering and Technology, CHRIST, Kanminike, Kumbalgodu, Bengaluru - 560074, INDIA)

Abstract

There are numerous applications of graph theory in the field of structural chemistry. In this paper, we compute the Sanskruti index $\mathcal{S}(G)$ of the Line graph of Subdivision Graph of cyclic hexagonal-square chain and nanocones $CNC_{k}[n]$ respectively.

Keywords and Phrases

Topological indices, Sanskruti index, Derived graph, Line graph.

A.M.S. subject classification

05C76, 05C99.

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