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  • 标题:Counting Problems in Parameterized Complexity
  • 本地全文:下载
  • 作者:Radu Curticapean
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:115
  • 页码:1-18
  • DOI:10.4230/LIPIcs.IPEC.2018.1
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:This survey is an invitation to parameterized counting problems for readers with a background in parameterized algorithms and complexity. After an introduction to the peculiarities of counting complexity, we survey the parameterized approach to counting problems, with a focus on two topics of recent interest: Counting small patterns in large graphs, and counting perfect matchings and Hamiltonian cycles in well-structured graphs. While this survey presupposes familiarity with parameterized algorithms and complexity, we aim at explaining all relevant notions from counting complexity in a self-contained way.
  • 关键词:counting complexity; parameterized complexity; graph motifs; perfect matchings; graph minor theory; Hamiltonian cycles
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