IJPAM: Volume 115, No. 4 (2017)

Title

COMPUTING SANSKRUTI INDEX OF CAPRA-DESIGNED
PLANAR BENZENOID SERIES $Ca_k(C_6)$

Authors

Xiujun Zhang$^1$, Muhammad Sh. Sardar$^2$, Zohaib Zahid$^3$,
Mehdi Rezaei$^4$, Mohammad R. Farahani$^5$
$^1$School of Information Science and Engineering
Chengdu University
Chengdu, 610106, P.R. CHINA
$^{2,3}$University of Management and Technology (UMT)
Lahore, PAKISTAN
$^{4}$Department of Mathematics
Buein Zahra Technical University
Buein Zahra, Qazvin, IRAN
$^5$Department of Applied Mathematics
Iran University of Science and Technology (IUST)
Narmak, Tehran, 16844, IRAN

Abstract

Let $G=(V,E)$ be a molecular graph, such that vertices represent atoms and edges are chemical bonds. The Sanskruti index of a graph $G$ is a topological index was defined as $S(G)=\sum_{uv \in E(G)} (\frac{S_uS_v}{S_u+S_v-2})^3$ where $S_u$ is the summation of degrees of all neighbors of vertex $u$ in $G$. This connectivity indices is very important and they has a prominent role in chemistry. In this paper, we focus on the structure of Capra-designed planar benzenoid series $Ca_k(C_6)$ $(k\geq0)$ and compute on this above topological descriptor.

History

Received: May 4, 2017
Revised: July 10, 2017
Published: August 10, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C90, 05C35, 05C12
Key Words and Phrases: molecular graph, benzenoid, capra operation, topological index, Sanskruti index

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How to Cite?

DOI: 10.12732/ijpam.v115i4.18 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 4
Pages: 851 - 857


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