منابع مشابه
Maximum Bounded Rooted-Tree Packing Problem
Given a graph and a root, the Maximum Bounded Rooted-Tree Packing (MBRTP) problem aims at finding K rooted-trees that span the largest subset of vertices, when each vertex has a limited outdegree. This problem is motivated by peerto-peer streaming overlays in under-provisioned systems. We prove that the MBRTP problem is NP-complete. We present two polynomial-time algorithms that computes an opt...
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The Steiner tree packing problem (STPP) in graphs is a long studied problem in combinatorial optimization. In contrast to many other problems, where there have been tremendous advances in practical problem solving, STPP remains very difficult. Most heuristics schemes are ineffective and even finding feasible solutions is already NP-hard. What makes this problem special is that in order to reach...
متن کاملThe Planar Tree Packing Theorem
Packing graphs is a combinatorial problem where several given graphs are being mapped into a common host graph such that every edge is used at most once. In the planar tree packing problem we are given two trees T1 and T2 on n vertices and have to find a planar graph on n vertices that is the edge-disjoint union of T1 and T2. A clear exception that must be made is the star which cannot be packe...
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In this paper we describe several versions of the routing problem arising in VLSI design and indicate how the Steiner tree packing problem can be used to model these problems mathematically. We focus on switchbox routing problems and provide integer programming formulations for routing in the knock-knee and in the Manhattan model. We give a brief sketch of cutting plane algorithms that we devel...
متن کاملOn the Tree Packing Conjecture
The Gyárfás tree packing conjecture states that any set of n−1 trees T1, T2, . . . , Tn−1 such that Ti has n− i+ 1 vertices pack into Kn (for n large enough). We show that t = 1 10n 1/4 trees T1, T2, . . . , Tt such that Ti has n− i+ 1 vertices pack into Kn+1 (for n large enough). We also prove that any set of t = 1 10 n1/4 trees T1, T2, . . . , Tt such that no tree is a star and Ti has n− i+ 1...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1997
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(96)00276-9