Abstract

A set of vertices WW in a connected graph GG is called a Steiner dominating set if WW is both Steiner and dominating set. The Steiner domination number γst(G)γ_{st}(G) is the minimum cardinality of a Steiner dominating set of GG. A linear algorithm is proposed in this paper for finding a minimum Steiner dominating set for a tree TT.

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