منابع مشابه
Packing Steiner trees
Let T be a distinguished subset of vertices in a graph G. A T Steiner tree is a subgraph of G that is a tree and that spans T . Kriesell conjectured that G contains k pairwise edge-disjoint T -Steiner trees provided that every edge-cut of G that separates T has size ≥ 2k. When T = V (G) a T -Steiner tree is a spanning tree and the conjecture is a consequence of a classic theorem due to Nash-Wil...
متن کاملPacking Trees into Planar Graphs
1 I n t r o d u c t i o n We say that the graphs H 1 , . . . , Hk can be packed into a graph G if G contains subgraphs isomorphic to H 1 , . . . , Hk and pairwise edge disjoint. The problem of packing graphs has been widely studied, especially when G is a complete graph. For instance, it is known that two trees with n vertices none of them equal to a star can be packed into K~ [2]. The packing ...
متن کاملPacking Steiner Trees: Further Facets
In this paper we continue the investigations in GMW92a] for the Stei-ner tree packing polyhedron. We present several new classes of valid inequalities and give suucient (and necessary) conditions for these inequalities to be facet-deening. It is intended to incorporate these inequalities into an existing cutting plane algorithm that is applicable to practical problems arising in the design of e...
متن کاملPlanar Packing of Binary Trees
In the graph packing problem we are given several graphs and have to map them into a single host graph G such that each edge of G is used at most once. Much research has been devoted to the packing of trees, especially to the case where the host graph must be planar. More formally, the problem is: Given any two trees T1 and T2 on n vertices, we want a simple planar graph G on n vertices such th...
متن کاملPacking Steiner trees: polyhedral investigations
Let G = (V; E) be a graph and T V be a node set. We call an edge set S a Steiner tree with respect to T if S connects all pairs of nodes in T. In this paper we address the following problem, which we call the weighted Steiner tree packing problem. Given a graph G = (V; E) with edge weights w e , edge capacities a Steiner tree with respect to T k , at most c e of these edge sets use edge e for e...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1996
ISSN: 0012-365X
DOI: 10.1016/0012-365x(95)00204-a