The fractional strong metric dimension in three graph products Academic Article uri icon

abstract

  • 2018 Elsevier B.V. For any two distinct vertices x and y of a graph G, let S{x,y} denote the set of vertices z such that either x lies on a yz geodesic or y lies on an xz geodesic. Let g:V(G)[0,1] be a real valued function and, for any UV(G), let g(U) = vUg(v). The function g is a strong resolving function of G if g(S{x,y})1 for every pair of distinct vertices x,y of G. The fractional strong metric dimension, sdimf(G), of a graph G is min{g(V(G)):g is a strong resolving function ofG}. In this paper, after obtaining some new results for all connected graphs, we focus on the study of the fractional strong metric dimension of the corona product, the lexicographic product, and the Cartesian product of graphs.

published proceedings

  • DISCRETE APPLIED MATHEMATICS

altmetric score

  • 0.5

author list (cited authors)

  • Kang, C. X., Yero, I. G., & Yi, E.

citation count

  • 7

complete list of authors

  • Kang, Cong X||Yero, Ismael G||Yi, Eunjeong

publication date

  • January 2018