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顶点Pk覆盖问题的研究综述

王利民 华景煜

南京信息工程大学学报2017,Vol.9Issue(5):455-461,7.
南京信息工程大学学报2017,Vol.9Issue(5):455-461,7.DOI:10.13878/j.cnki.jnuist.2017.05.001

顶点Pk覆盖问题的研究综述

A survey on vertex cover Pk problem

王利民 1华景煜1

作者信息

  • 1. 南京大学计算机科学与技术系,南京,210023
  • 折叠

摘要

Abstract

Vertex cover problem is a classical NP complete problem,which has many applications in areas of sorting,computer network,etc.In recent years,many researchers begin to explore its generalized form,namely vertex cover Pk problem,which requires to find a subset of vertices such that the induced subgraphs by the rest vertices of the topological structure do not include any Pk path,where Pk is the path on k vertices.This paper firstly introduces the application background of vertex cover Pk problem,then summarizes current researches in approximation algorithms,exact algorithms and parameter algorithms,and analyzes some commonly used methods and techniques.On this basis,we point out the direction for further research on the vertex cover Pk problem and its related issues.

关键词

顶点Pk覆盖/近似算法/精确算法/参数化算法

Key words

vertex cover Pk/approximation algorithms/exact algorithms/parameter algorithms

分类

信息技术与安全科学

引用本文复制引用

王利民,华景煜..顶点Pk覆盖问题的研究综述[J].南京信息工程大学学报,2017,9(5):455-461,7.

基金项目

国家自然科学基金(11471003,61425024) (11471003,61425024)

南京信息工程大学学报

OACSTPCD

1674-7070

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