Some Relations between Kekule Structure and Morgan-Voyce Polynomials

GÜLTEKİN İ., Sahin B.

IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.8, sa.2, ss.221-229, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22052/ijmc.2017.49481.1177
  • Dergi Adı: IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.221-229
  • Anahtar Kelimeler: Kekule structure, Hosoya index, Morgan-Voyce polynomials, Caterpillar trees
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B-n (x) Morgan Voyce polynomial equal to the number of k-matchings (m(G, k)) of a path graph which has N = 2n + 1 points. Furtermore, two relations are obtained between regularly zig zag non-branched catacondensed benzenoid chains and Morgan Voyce polynomials and between regularly zig zag non branched catacondensed benzenoid chains and their corresponding caterpillar trees. (C) 2017 University of Kashan Press. All rights reserved