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Constant factor approximation algorithm for l-pseudoforest deletion problem

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成果类型:
期刊论文、会议论文
作者:
Lin, Mugang;Fu, Bin;Feng, Qilong*
通讯作者:
Feng, Qilong
作者机构:
[Feng, Qilong; Lin, Mugang] Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R China.
[Lin, Mugang] Hengyang Normal Univ, Sch Comp Sci & Technol, Hengyang, Peoples R China.
[Lin, Mugang] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
[Fu, Bin] Univ Texas Rio Grande Valley, Dept Comp Sci, Edinburg, TX 78539 USA.
通讯机构:
[Feng, Qilong] C
Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R China.
语种:
英文
关键词:
Graph theory;Polynomial approximation;Trees (mathematics);Approximation factor;Approximation ratios;Connected component;Constant-factor approximation algorithms;Feedback Vertex Set problems;l-Pseudoforest Deletion problem;Local ratio;Local ratio technique;Approximation algorithms
期刊:
Lecture Notes in Computer Science
ISSN:
0302-9743
年:
2018
卷:
10976 LNCS
页码:
726-737
基金类别:
This work is supported by the National Natural Science Foundation of China under Grants (61772179, 61472449, 61420106009, 61402054), the Science and Technology Plan Project of Hunan Province under Grant (2016TP1020) and the Scientific Research Fund of Hunan Provincial Education Department under Grant (17C0222).
机构署名:
本校为其他机构
摘要:
An l-pseudoforest is a graph each of whose connected component is at most l edges away from being a tree. The l-Pseudoforest Deletion problem is to delete a vertex set P of minimum weight from a given vertex-weighted graph (Formula Presented) such that the remaining graph (Formula Presented) is an l-pseudoforest. The Feedback Vertex Set problem is a special case of the l-Pseudoforest Deletion problem with (Formula Presented). In this paper, we present a polynomial time 4l-approximation algorithm for the l-Pseudoforest Deletion problem with (For...

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