On the Merrifield-Simmons index and generating functions for the graphs of the state PL(2,n)-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On the Merrifield-Simmons index and generating functions for the graphs of the state PL(2,n)

Published:2022 Issue:Spec. issue 2 Volume:26 Page:631-638
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Gultekin Inci¹,Cevik Fatih¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Atatürk University, Erzurum, Turkey

Abstract

In this study, we compute Merrifield-Simmons index of graphs which corresponds to PL (2, n) by using the decomposition formula. Examination shows that Merri-field-Simmons index of certain classes of graphs deduce as a result in a difference equation. Further, the prominent formula for Merrifield-Simmons index of PL (2, n) and generating function are found as a function of the number n of hexagons in the state of PL (2, n). Also the relations formed for the (PL (2, n, n)) graphs obtained by combining two PL (2, n) with a certain angle between them are given.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference10 articles.

1. West, D. B., Introduction to Graph Theory, Prentice Hall, New Jersey, USA, 2001

2. Prodinger, H., Tichy, R. F., Fibonacci Numbers of Graphs, Fibonacci Quarterly, 20 (1982), 1, pp. 16-21

3. Hosoya, H., Mathematical Meaning and Importance of The Topological Index, Croatica Chemica Acta, 80 (2007), 2, pp. 239-249

4. Deng, H., The Smallest Merrifield-Simmons Index of (n, n + 1)-Graphs, Math. Comput. Model, 49 (2009), 1-2, pp. 320-326

5. Huang, Y., et al., The Hosoya Index and Merrifield-Simmons Index, J Math Chem., 56 (2018), 10, pp. 3136-3146

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP