The energy and sombor index of graphs


Ulker A., GÜRSOY A., Gursoy N. K.

Match, cilt.87, sa.1, ss.51-58, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.46793/match.87-1.051u
  • Dergi Adı: Match
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.51-58
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

The energy of a graph is defined to be the sum of absolute values of eigenvalues of its adjacency matrix. The Sombor index of a graph is a novel topological index of a graph. In this paper, we study relations between energy and Sombor index of a graph G in terms of its degrees. Moreover, we give upper bound for a regular graph in terms of its Sombor index.