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

GÜLTEKİN İ., Cevik F.

THERMAL SCIENCE, cilt.26, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/tsci22s2631g
  • Dergi Adı: THERMAL SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Anahtar Kelimeler: molecular graph, Fibonacci number, decomposition formula, difference equation, generating function, HOSOYA INDEX
  • Atatürk Üniversitesi Adresli: Evet

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.