IJPAM: Volume 115, No. 2 (2017)

Title

COMPUTING SANSKRUTI INDEX
OF DENDRIMER NANOSTARS

Authors

Yingying Gao$^1$, Muhammad Shoaib Sardar$^2$,
Sohail Zafar$^3$, Mohammad Reza Farahani$^4$
$^1$Colleage of Pharmacy and Biological Engineering
Chengdu University
Chengdu, 610106, P.R. CHINA
$^2$Department of Mathematics
University of Management and Technology (UMT)
Lahore, PAKISTAN
$^{3,4}$Department of Applied Mathematics
Iran University of Science and Technology (IUST)
Narmak, Tehran 16844, IRAN

Abstract

Let $G=(V;E)$ be a simple connected graph. The Sanskruti index was introduced by Hosamani [7] and 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 $G$. In this paper, we give explicit formulas for the Sanskruti index of an infinite class of dendrimer nanostars.

History

Received: March 30, 2017
Revised: June 29, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification:
Key Words and Phrases: molecular graph, nanostar dendrimers, Sanskruti index

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How to Cite?

DOI: 10.12732/ijpam.v115i2.16 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: 2
Pages: 399 - 404


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