On the topological matrix and topological indices

KAYA GÖK G.

AKCE International Journal of Graphs and Combinatorics, cilt.17, sa.1, ss.252-258, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.akcej.2019.07.001
  • Dergi Adı: AKCE International Journal of Graphs and Combinatorics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.252-258
  • Anahtar Kelimeler: Bounds, Topological indices, Topological matrix
  • Hakkari Üniversitesi Adresli: Evet

Özet

The topological matrix (Formula presented.) of a graph (Formula presented.) are indexed by (Formula presented.). If (Formula presented.) then the (Formula presented.) of (Formula presented.) is 1 and the (Formula presented.) of (Formula presented.) is 0 for otherwise. In this paper, an upper bound for this topological matrix is found and the weighted topological matrix is defined. Also, some inequalities for the topological energy and the weighted Laplacian topological energy and of (Formula presented.) are obtained. The Topological index (Formula presented.) of a graph (Formula presented.) is qualified by (Formula presented.). Some relations are found for basic mathematical operations of (Formula presented.) and some bounds are reported for some topological indices in this paper.