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Matchings and total domination subdivision number in graphs with few induced 4-cycles

Odile Favaron;  Hossein Karami;  Rana Khoeilar;  Seyed Mahmoud Sheikholeslami — 2010

Discussiones Mathematicae Graph Theory

A set S of vertices of a graph G = (V,E) without isolated vertex is a total dominating set if every vertex of V(G) is adjacent to some vertex in S. The total domination number γₜ(G) is the minimum cardinality of a total dominating set of G. The total domination subdivision number s d γ ₜ ( G ) is the minimum number of edges that must be subdivided (each edge in G can be subdivided at most once) in order to increase the total domination number. Favaron, Karami, Khoeilar and Sheikholeslami (Journal of Combinatorial...

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