Computing the Hosoya and the Merrifield-Simmons indices of two special benzenoid systems

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ÖZ M. S., CANGÜL İ. N.

Iranian Journal of Mathematical Chemistry, vol.12, no.3, pp.161-174, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.22052/ijmc.2021.243008.1580
  • Journal Name: Iranian Journal of Mathematical Chemistry
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.161-174
  • Keywords: Benzenoid systems, Hexagonal systems, Hosoya index, Merrifield-Simmons index, DOUBLE HEXAGONAL CHAINS, TOPOLOGICAL INDEXES, RESPECT
  • Bursa Uludag University Affiliated: Yes

Abstract

Gutman et al. gave some relations for computing the Hosoya indices of two special benzenoid systems R-n and P-n. In this paper, we compute the Hosoya index and Merrifield-Simmons index of R-n and P-n, by means of introducing four vectors for each benzenoid system and index. As a result, we compute the Hosoya index and the Merrifield-Simmons index of R-n and P-n, by means of a product of a certain matrix of degree n and a certain vector. (C) 2021 University of Kashan Press. All rights reserved