6th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA 2017, Budapest, Macaristan, 15 - 18 Ağustos 2017, cilt.1926
The Randic index R(G) of a graph G whose vertex i and j has degree di and dj respectively is defined by sum of the 1/didj 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.