Improved parameterized and exact algorithms for cut problems on trees | |
Kanj, Iyad ; Lin, Guohui ; Liu, Tian ; Tong, Weitian ; Xia, Ge ; Xu, Jinhui ; Yang, Boting ; Zhang, Fenghui ; Zhang, Peng ; Zhu, Binhai | |
刊名 | THEORETICAL COMPUTER SCIENCE
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2015 | |
关键词 | Multicut Multiway cut Tree Parameterized algorithm Exact algorithm VERTEX COVER MULTIWAY CUT MULTICUT APPROXIMATE FLOW |
DOI | 10.1016/j.tcs.2015.06.010 |
英文摘要 | We study the MULTICUT ON TREES and the GENERALIZED MULTIWAY CUT ON TREES problems. For the MULTICUT ON TREES problem, we present a parameterized algorithm that runs in time O*(rho(k)), where rho = root root 2 + 1 < 1.554 is the positive root of the polynomial x(4) - 2x(2) - 1. This improves the current-best algorithm of Chen et al. that runs in time O*(1.619(k)). For the GENERALIZED MULTIWAY CUT ON TREES problem, we show that this problem is solvable in polynomial time if the number of terminal sets is fixed; this answers an open question posed in a recent paper by Liu and Zhang. By reducing the GENERALIZED MULTIWAY CUT ON TREES problem to the MULTICUT ON TREES problem, our results give a parameterized algorithm that solves the GENERALIZED MULTIWAY CUT ON TREES problem in time O*(rho(k)). (C) 2015 Elsevier B.V. All rights reserved.; NSERC [RGPIN-2013-261290]; AITF; State Scholarship Fund of China; Natural Science Foundation of Shandong Province [ZR2012FZ002, ZR2013FM030]; Fundamental Research Funds of Shandong University [2015JC006]; SCI(E); EI; ARTICLE; ikanj@cs.depaul.edu; guohui@ualberta.ca; lt@pku.edu.cn; weitian@ualberta.ca; xiag@lafayette.edu; jinhui@buffalo.edu; boting@cs.uregina.ca; fhzhang@gmail.com; algzhang@sdu.edu.cn; bhz@cs.montana.edu; ,SI; 455-470; 607 |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/439219] ![]() |
专题 | 信息科学技术学院 |
推荐引用方式 GB/T 7714 | Kanj, Iyad,Lin, Guohui,Liu, Tian,et al. Improved parameterized and exact algorithms for cut problems on trees[J]. THEORETICAL COMPUTER SCIENCE,2015. |
APA | Kanj, Iyad.,Lin, Guohui.,Liu, Tian.,Tong, Weitian.,Xia, Ge.,...&Zhu, Binhai.(2015).Improved parameterized and exact algorithms for cut problems on trees.THEORETICAL COMPUTER SCIENCE. |
MLA | Kanj, Iyad,et al."Improved parameterized and exact algorithms for cut problems on trees".THEORETICAL COMPUTER SCIENCE (2015). |
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