منابع مشابه
On the Steiner, geodetic and hull numbers of graphs
Given a graph G and a subset W ⊆ V (G), a Steiner W -tree is a tree of minimum order that contains all of W . Let S(W ) denote the set of all vertices in G that lie on some Steiner W -tree; we call S(W ) the Steiner interval of W . If S(W ) = V (G), then we call W a Steiner set of G. The minimum order of a Steiner set of G is called the Steiner number of G. Given two vertices u, v in G, a short...
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The problem of optimal transport, originally proposed by Monge, has a long history of investigation and application ([18] is an extensive reference). Roughly stated, the problem involves one who has an initial configuration of mass and would like to transport it to a terminal configuration of mass, doing so at least cost. For instance, one might have a set of water towers and a region of drough...
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A partial Steiner system Sp(t, k, n) is a collection of k-subsets (i.e. subsets of size k) of n element set such that every t-subset is contained in at most one k-subset. To avoid trivial cases, we assume 2 ≤ t < k < n. It is easy to see that the size of a partial Steiner system Sp(t, k, n) is at most ( n t )
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2002
ISSN: 0925-7721
DOI: 10.1016/s0925-7721(01)00065-7