Locating-total domination critical graphs

  title={Locating-total domination critical graphs},
  author={Mustapha Chellali and Nader Jafari Rad},
  journal={Australasian J. Combinatorics},
A locating-total dominating set of a graph G = (V (G), E(G)) with no isolated vertex is a set S ⊆ V (G) such that every vertex of V (G) is adjacent to a vertex of S and for every pair of distinct vertices u and v in V (G) − S, N(u) ∩ S = N(v) ∩ S. Let γ t (G) be the minimum cardinality of a locating-total dominating set of G. A graph G is said to be… CONTINUE READING