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Randomized Parameterized Algorithms for the Kidney Exchange Problem

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成果类型:
期刊论文
作者:
Mugang Lin;Jianxin Wang 0001;Qilong Feng;Bin Fu
通讯作者:
Wang, Jianxin(jxwang@csu.edu.cn)
作者机构:
[Mugang Lin; Jianxin Wang 0001; Qilong Feng] School of Computer Science and Engineering, Central South University, Changsha
410083, China
School of Computer Science and Technology, Hengyang Normal University, Hengyang
421002, China
Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang
通讯机构:
[Jianxin Wang] S
School of Computer Science and Engineering, Central South University, Changsha 410083, China<&wdkj&>Author to whom correspondence should be addressed.
语种:
英文
关键词:
Kidney exchange problem;Multilinear monomial detection;Parameterized algorithm;Random partitioning;Randomized algorithm
期刊:
Algorithms
ISSN:
1999-4893
年:
2019
卷:
12
期:
2
页码:
50-
基金类别:
Conceptualization, M.L. and J.W.; methodology, M.L., J.W., Q.F. and B.F.; formal analysis, M.L. and B.F.; writing–original draft preparation, M.L. and B.F.; writing–review and editing, M.L., J.W. and Q.F.; project administration, J.W.; funding acquisition, J.W., Q.F. and B.F. This work was supported in part by the National Natural Science Foundation of China under Grants 61772179, 61672536, 61872450, 61420106009, and 61503128, in part by Hunan Provincial Natural Science Foundation of China under Grant 2019JJ40005, in part by the Scientific Research Fund of Hunan Provincial Education Department under Grant 17C0222, in part by Application-oriented Special Disciplines, Double First-Class University Project of Hunan Province(Xiangjiaotong [2018] 469), and in part by the Science and Technology Plan Project of Hunan Province under Grant 2016TP1020.
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摘要:
In order to increase the potential kidney transplants between patients and their incompatible donors, kidney exchange programs have been created in many countries. In the programs, designing algorithms for the kidney exchange problem plays a critical role. The graph theory model of the kidney exchange problem is to find a maximum weight packing of vertex-disjoint cycles and chains for a given weighted digraph. In general, the length of cycles is not more than a given constant L (typically 2 ≤ L ≤ 5), and the objective function corresponds to ...

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