Some Multiplicative Indices of Unitary Cayley Graphs

Abstract

The unitary Cayley graph 𝑋 𝑛 has vertex set 𝑍 𝑛 = {0, 1, 2, . . 𝑛 − 1}.Vertices a, b are adjacent, if 𝑔𝑐𝑑 (𝑎 − 𝑏, 𝑛) = 1. The status 𝜎(𝑢) of a vertex u in a graph G is the sum of distances of all other vertices from u in 𝐺. In this paper, we obtain the values of the multiplicative first and second status indices, multiplicative first and second hyper status indices, multiplicative sum connectivity status index, multiplicative product connectivity status index, general multiplicative first and second status indices of unitary Cayley graph 𝑋 𝑛 .