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Exponential time approximation scheme for TSP

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成果类型:
期刊论文、会议论文
作者:
Chen, Zhixiang;Feng, Qilong;Fu, Bin*;Lin, Mugang;Wang, Jianxin
通讯作者:
Fu, Bin
作者机构:
[Fu, Bin; Chen, Zhixiang] Univ Texas Rio Grande Valley, Dept Comp Sci, Edinburg, TX 78539 USA.
[Feng, Qilong; Wang, Jianxin] Cent Southern Univ, Sch Informat, Changsha, Peoples R China.
[Lin, Mugang] Hengyang Normal Univ, Sch Comp Sci & Technol, Hengyang, Peoples R China.
通讯机构:
[Fu, Bin] U
Univ Texas Rio Grande Valley, Dept Comp Sci, Edinburg, TX 78539 USA.
语种:
英文
关键词:
Directed graphs;Polynomial approximation;Traveling salesman problem;Approximation scheme;Complexity theory;Exponential time;Exponential time hypothesis;Nonnegative real number;Polynomial space;Time constants;Undirected graph;Approximation algorithms
期刊:
Lecture Notes in Computer Science
ISSN:
0302-9743
年:
2019
卷:
11640
页码:
121-128
会议名称:
13th International Conference on Algorithmic Aspects in Information and Management, AAIM 2019
会议论文集名称:
Algorithmic Aspects in Information and Management
会议时间:
6 August 2019 through 8 August 2019
会议地点:
Beijing, PEOPLES R CHINA
会议主办单位:
[Chen, Zhixiang;Fu, Bin] Univ Texas Rio Grande Valley, Dept Comp Sci, Edinburg, TX 78539 USA.^[Feng, Qilong;Wang, Jianxin] Cent Southern Univ, Sch Informat, Changsha, Peoples R China.^[Lin, Mugang] Hengyang Normal Univ, Sch Comp Sci & Technol, Hengyang, Peoples R China.
主编:
Ding-Zhu Du<&wdkj&>Lian Li<&wdkj&>Xiaoming Sun<&wdkj&>Jialin Zhang
出版地:
GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
出版者:
Springer Verlag
ISBN:
9783030271947
基金类别:
The authors would like to thank the reviewers whose suggestions improve the presentation of this paper. This research is supported by NSFC 61772179, 61872450 and Hunan Provincial Natural Science Foundation 2019JJ40005.
机构署名:
本校为其他机构
摘要:
In this paper, we develop an exponential time approximation scheme for the traveling salesman problem (TSP) on undirected graphs. If the weight of each edge is a nonnegative real number, then there is an algorithm to give an (1 + ϵ) approximation for the TSP problem in O(1/ϵ·1.66n) and a polynomial space. It is in contrast to Golovnen’s approximation scheme for TSP on directed graphs with O(1/ϵ·2n) time. We also show that there is no 2o(n) time constant factor approximation for the TSP problem under Exponential Time Hyp...

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