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On the parameterized complexity of minimum/maximum degree vertex deletion on several special graphs

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成果类型:
期刊论文
作者:
Li, Jia;Li, Wenjun;Yang, Yongjie;Yang, Xueying
通讯作者:
Yang, Xueying(yxycsust@163.com)
作者机构:
[Li, Jia] Hunan Ind Polytech, Sch Informat Engn, Changsha 410036, Peoples R China.
[Li, Wenjun; Yang, Xueying] Changsha Univ Sci & Technol, Sch Comp & Commun Engn, Hunan Prov Key Lab Intelligent Proc Big Data Trans, Changsha 410015, Peoples R China.
[Yang, Yongjie] Saarland Univ, Chair Econ Theory, D-66123 Saarbrucken, Germany.
通讯机构:
[Xueying Yang] H
Hunan Provincial Key Laboratory of Intelligent Processing of Big Data on Transportation, School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, China
语种:
英文
关键词:
minimum degree;maximum degree;vertex deletion;split graphs;planar graphs;parameterized complexity
期刊:
计算机科学前沿(英文)
ISSN:
2095-2228
年:
2023
卷:
17
期:
4
页码:
174405-null
基金类别:
This work was supported by the Science and Education Joint Project of Hunan Natural Science Foundation (2021JJ60032), Research Foundation of Education Bureau of Hunan Province (21B0305), and Natural Science Foundation of Hunan Province of China (2022JJ30620).
机构署名:
本校为其他机构
院系归属:
计算机与通信工程学院
摘要:
In the minimum degree vertex deletion problem, we are given a graph, a distinguished vertex in the graph, and an integer κ, and the question is whether we can delete at most κ vertices from the graph so that the distinguished vertex has the unique minimum degree. The maximum degree vertex deletion problem is defined analogously but here we want the distinguished vertex to have the unique maximum degree. It is known that both problems are NP-hard and fixed-parameter intractable with respect to some natural parameters. In this paper, we study t...
摘要(中文):
In the minimum degree vertex deletion problem,we are given a graph,a distinguished vertex in the graph,and an ...展开更多 In the minimum degree vertex deletion problem,we are given a graph,a distinguished vertex in the graph,and an integer κ,and the question is whether we can delete at most κ vertices from the graph so that the distinguished vertex has the unique minimum degree.The maximum degree vertex deletion problem is defined analogously but here we want the distinguished vertex to have the unique maximum degree.It is known that both pro...

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