The strong metric dimension of generalized Sierpinski graphs with pendant vertices

Identifier:  imarina:9387713

Handle: https://hdl.handle.net/20.500.11797/imarina9387713

Authors:  Estaji, Ehsan; Rodriguez-Velazquez, Juan Alberto

Abstract:
Let G be a connected graph of order n having epsilon(G) end-vertices. Given a positive integer t, we denote by S (G, t) the t-th generalized Sierpi ' nski graph of G. In this note we show that if every internal vertex of G is a cut vertex, then the strong metric dimension of S (G, t) is given by dim(s)(S(G,t)) = epsilon(G) (n(t) - 2n(t-1) + 1) - n + 1/n - 1.