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  • 标题:Enumerating Minimal Dominating Sets in Triangle-Free Graphs
  • 本地全文:下载
  • 作者:Marthe Bonamy ; Oscar Defrain ; Marc Heinrich
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:126
  • 页码:1-12
  • DOI:10.4230/LIPIcs.STACS.2019.16
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:It is a long-standing open problem whether the minimal dominating sets of a graph can be enumerated in output-polynomial time. In this paper we prove that this is the case in triangle-free graphs. This answers a question of Kanté et al. Additionally, we show that deciding if a set of vertices of a bipartite graph can be completed into a minimal dominating set is a NP-complete problem.
  • 关键词:Enumeration algorithms; output-polynomial algorithms; minimal dominating set; triangle-free graphs; split graphs
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