Graph Operations of Randic Index

GÖK G. K., BÜYÜKKÖSE Ş.

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Macaristan, 15 - 17 Ağustos 2017, cilt.1926 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1926
  • Doi Numarası: 10.1063/1.5020470
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan
  • Gazi Üniversitesi Adresli: Evet

Özet

The Randic index R(G) of a graph G whose vertex i and j has degree d(i) and d(j) respectively is defined by sum of the 1/root d(i)d(j) if the vertices i and j are adjacent. We introduce the weighted Randic index, we establish basic mathematical properties of Randic index and we investigate its behavior under some graph operations in this paper.