A fully polynomial bicriteria approximation scheme for the constrained spanning tree problem
โ Scribed by Sung-Pil Hong; Sung-Jin Chung; Bum Hwan Park
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 213 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-6377
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โฆ Synopsis
We propose a fully polynomial bicriteria approximation scheme for the constrained spanning tree problem. First, an exact pseudo-polynomial algorithm is developed based on a two-variable extension of the well-known matrix-tree theorem. The scaling and approximate binary search techniques are then utilized to yield a fully polynomial approximation scheme.
๐ SIMILAR VOLUMES
Given a set of n positive integers and a knapsack of capacity c; the Subset-Sum Problem is to find a subset the sum of which is closest to c without exceeding the value c: In this paper we present a fully polynomial approximation scheme which solves the Subset-Sum Problem with accuracy e in time Oรฐm
Given an undirected graph with nonnegative edge lengths and nonnegative vertex weights, the routing requirement of a pair of vertices is assumed to be the product of their weights. The routing cost for a pair of vertices on a given spanning tree is defined as the length of the path between them mult