Characterization and Zagreb indices of the projective path graphs of order k

Özen Erdoğan F.

Montes Taurus Journal of Pure and Applied Mathematics, cilt.5, sa.3, ss.111-119, 2023 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 3
  • Basım Tarihi: 2023
  • Dergi Adı: Montes Taurus Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Index Copernicus
  • Sayfa Sayıları: ss.111-119
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper; general formulae for vertex and edge partition of projective path graphs are obtained from projective planes of order k. Then, the characterization of projective-path graphs is presented. The general formulae of additive and multiplicative Zagreb indices and Narumi-Katayama index for the projective path graphs in terms of order k are given. Finally, the vertex-adjacency matrices and energies related to projective path graphs, that are obtained from the projective planes of order k = 2, 3, 4, 5 are calculated