International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

Frequency: 12
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 Volume 7, Issue 2 (February 2020), Pages: 1-8

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 Original Research Paper

 Title: On Sanskruti and harmonic indices of a certain graph structure

 Author(s): Zeeshan Saleem Mufti *, Aqsa Amin, Asma Wajid, Sana Caudhary, Hifza Iqbal, Nasir Ali

 Affiliation(s):

 Department of Mathematics and Statistics, The University of Lahore, Old Campus Lahore, Lahore, Pakistan

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-6765-6595

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2020.02.001

 Abstract:

Graph theory is a delightful playground for the evaluation of proof, techniques in Discrete Mathematics and its results have applications in several areas of sciences. For a molecular graph, a numeric quantity that characterizes the complete formation of a graph is called a topological index. Topological indices are most helpful in the field of isomer discrimination, chemical validation, QSAR, QSPR, and pharmaceutical drug design. There are certain types of topological indices like distance-based, degree-based and counting related topological indices. In our work, we calculate and analyze the degree-based topological indices like Mr (G), GA(G), OGAr (G), GAII(G), SK, SK1, SK2, H(G), Hr (G), λ(G), λr (G), F(G), GA5 (G) and the Sanskruti index for the web Graph. Furthermore, we give closed analytic results of these indices. 

 © 2020 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Topological indices, Graph theory, Sanskruti index, Harmonic index

 Article History: Received 27 August 2019, Received in revised form 25 November 2019, Accepted 1 December 2019

 Acknowledgment:

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest:  The authors declare that they have no conflict of interest.

 Citation:

 Mufti ZS, Amin A, and Wajid A et al. (2020). On Sanskruti and harmonic indices of a certain graph structure. International Journal of Advanced and Applied Sciences, 7(2): 1-8

 Permanent Link to this page

 Figures

 Fig. 1

 Tables

 Table 1 Table 2

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