Article
2022
·
0 citations
ON THE MERRIFIELD-SIMMONS INDEX AND GENERATING FUNCTIONS FOR THE GRAPHS OF THE STATE <i>P<sub>L</sub></i> (2, <i>n</i>)
Abstract
In this study, we compute Merrifield-Simmons index of graphs which corresponds to P-L (2, n) by using the decomposition formula. Examination shows that Merrifield-Simmons index of certain classes of graphs deduce as a result in a difference equation. Further, the prominent formula for Merrifield-Simmons index of P-L (2, n) and generating function are found as a function of the number n of hexagons in the state of P-L (2, n). Also the relations formed for the (P-L (2, n, n)) graphs obtained by combining two P-L (2, n) with a certain angle between them are given.
Keywords
molecular graph
Fibonacci number
decomposition formula
difference equation
generating function
HOSOYA INDEX
WoS Categories
Thermodynamics
Sustainable Development Goals
Citation
- Journal
- THERMAL SCIENCE
- Year
- 2022
- Volume
- 26
- Pages
- S631-S638
- ISSN
- 0354-9836
- eISSN
- 2334-7163
- DOI
- 10.2298/TSCI22S2631G
- WoS UID
- WOS:000921231700014