Repozytorium publikacji - Politechnika Gdańska

A total outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D, and the set V(G)D is independent. The total outer-independent domination number of a graph G, denoted by gamma_t^{oi}(G), is the minimum cardinality of a total outer-independent dominating set of G. We prove that for every nontrivial tree T of order n with l leaves we have gamma_t^{oi}(T) >= (2n-2l+2)/3, and we characterize the trees attaining this lower bound.

Autorzy

• dr inż. Marcin Krzywkowski link otwiera się w nowej karcie