ON THE MERRIFIELD-SIMMONS INDEX AND GENERATING FUNCTIONS FOR THE GRAPHS OF THE STATE P-L (2, n)

Gültekin, İnci; Cevik, Fatih

doi:10.2298/tsci22s2631g

Makale Tam Makale Uluslararası 2022

ON THE MERRIFIELD-SIMMONS INDEX AND GENERATING FUNCTIONS FOR THE GRAPHS OF THE STATE P-L (2, n)

İnci Gültekin, Fatih Cevik

THERMAL SCIENCE Cilt 26 · 01.01.2022

DOI ile aç

Özet

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.

Anahtar kelimeler

Fibonacci number molecular graph decomposition formula difference equation generating function HOSOYA INDEX

Atıf için künye

Gültekin, İ., & Cevik, F. (2022). ON THE MERRIFIELD-SIMMONS INDEX AND GENERATING FUNCTIONS FOR THE GRAPHS OF THE STATE P-L (2, n). THERMAL SCIENCE, 26. https://doi.org/10.2298/tsci22s2631g

BibTeX

@article{gultekin2022-73488,
  author = {Gültekin, İnci and Cevik, Fatih},
  title = {ON THE MERRIFIELD-SIMMONS INDEX AND GENERATING FUNCTIONS FOR THE GRAPHS OF THE STATE P-L (2, n)},
  journal = {THERMAL SCIENCE},
  year = {2022},
  volume = {26},
  issn = {0354-9836},
  doi = {10.2298/tsci22s2631g},
  url = {https://akademik.atauni.edu.tr/yayinlar/73488-on-the-merrifield-simmons-index-and-generating-functions-for-the-graphs-of-the}
}