In this paper, we propose efficient parallel algorithms on the EREW PRAM for optimally locating in a tree network a path-shaped facility and a tree-shaped facility of a specified length. Edges in the tree network have arbitrary positive lengths. Two optimization criteria are considered: minimum ecce
Efficient Algorithms for Finding a Core of a Tree with a Specified Length
โ Scribed by Shietung Peng; Win-tsung Lo
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 176 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
โฆ Synopsis
A core of a graph G is a path P in G that is central with respect to the property
to path P. This paper presents efficient algorithms for finding a core of a tree with ลฝ . a specified length. The sequential algorithm runs in O n log n time, where n is the ลฝ 2 . ลฝ. size of the tree. The parallel algorithm runs in O log n time using O n processors on an EREW PRAM model.
๐ SIMILAR VOLUMES
Given a tree containing n vertices, consider the sum of the distance between all ลฝ . vertices and a k-leaf subtree subtree which contains exactly k leaves . A k-tree core is a k-leaf subtree which minimizes the sum of the distances. In this paper, we propose a linear time algorithm for finding a k-t
A core of a tree \(T=(V, E)\) is a path in \(T\) which minimizes \(\Sigma_{v \in V}\) \(d(v, P)\), where \(d(v, P)\), the distance from a vertex \(v\) to path \(P\), is defined as \(\min _{u \in P} d(v, u)\). We present an optimal parallel algorithm to find a core of \(T\) in \(O(\log n)\) time usin
The minimum sum of branch lengths (S), or the minimum evolution (ME) principle, has been shown to be a good optimization criterion in phylogenetic inference. Unfortunately, the number of topologies to be analyzed is computationally prohibitive when a large number of taxa are involved. Therefore, sim