THE SIGMA INDEX OF GRAPH OPERATIONS

JAHANBANI A., Ediz S.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.37, sa.1, ss.155-162, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.155-162
  • Anahtar Kelimeler: Graph operations, sigma index, zagreb index
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Let G be a graph of order n with vertices labeled as nu(1), nu(2),., nu(n). Let di be the degree of the vertex nu i, for i = 1, 2,., n. The sigma index, which have been defined very recently, of G is sigma(G) = Sigma(vivj epsilon E(G))(d(i) - d(j))(2). In this paper, the sigma index of the Cartesian product, composition, join and disjunction of graphs are computed. We apply some of our results to compute the sigma index of some special graph classes.