## Abstract The broadcast domination problem is a variant of the classical minimum dominating set problem in which a transmitter of power __p__ at vertex __v__ is capable of dominating (broadcasting to) all vertices within distance __p__ from __v__. Our goal is to assign a broadcast power __f__(__v
A Linear Time Algorithm for Finding ak-Tree Core
โ Scribed by Akiyoshi Shioura; Takeaki Uno
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 173 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
โฆ Synopsis
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-tree core for a given k. แฎ 1997
๐ SIMILAR VOLUMES
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 alg
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