The full Steiner tree problem
نویسندگان
چکیده
Motivated by the reconstruction of phylogenetic tree in biology, we study the full Steiner tree problem in this paper. Given a complete graph G = (V; E) with a length function on E and a proper subset R ⊂ V , the problem is to 4nd a full Steiner tree of minimum length in G, which is a kind of Steiner tree with all the vertices of R as its leaves. In this paper, we show that this problem is NP-complete and MAX SNP-hard, even when the lengths of the edges are restricted to either 1 or 2. For the instances with lengths either 1 or 2, we give a 5 -approximation algorithm to 4nd an approximate solution for the problem. c © 2003 Elsevier B.V. All rights reserved.
منابع مشابه
On the hardness of full Steiner tree problems
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عنوان ژورنال:
- Theor. Comput. Sci.
دوره 306 شماره
صفحات -
تاریخ انتشار 2003