Parameterized algorithms for the happy set problem

Yuichi Asahiro, Hiroshi Eto, Tesshu Hanaka, Guohui Lin, Eiji Miyano, Ippei Terabaru

研究成果: 著書/レポートタイプへの貢献会議での発言

抜粋

In this paper we introduce the Maximum Happy Set problem (MaxHS) and study its parameterized complexity: For an undirected graph G = (V,E) and a subset S ⊆ V of vertices, a vertex v is happy if v and all its neighbors are in S; and otherwise unhappy. Given an undirected graph G = (V,E) and an integer k, the goal of MaxHS is to find a subset S ⊆ V of k vertices such that the number of happy vertices is maximized. In this paper we first show that MaxHS is W[1]-hard when parameterized by k. Then, we prove the fixed-parameter tractability of MaxHS when parameterized by the tree-width, the clique-width and k, the neighborhood diversity, or the twin-cover number.

元の言語英語
ホスト出版物のタイトルWALCOM
ホスト出版物のサブタイトルAlgorithms and Computation - 14th International Conference, WALCOM 2020, Proceedings
編集者M. Sohel Rahman, Kunihiko Sadakane, Wing-Kin Sung
出版者Springer
ページ323-328
ページ数6
ISBN(印刷物)9783030398804
DOI
出版物ステータス出版済み - 1 1 2020
イベント14th International Conference and Workshops on Algorithms and Computation, WALCOM 2020 - Singapore, シンガポール
継続期間: 3 31 20204 2 2020

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
12049 LNCS
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

会議

会議14th International Conference and Workshops on Algorithms and Computation, WALCOM 2020
シンガポール
Singapore
期間3/31/204/2/20

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

Asahiro, Y., Eto, H., Hanaka, T., Lin, G., Miyano, E., & Terabaru, I. (2020). Parameterized algorithms for the happy set problem. : M. S. Rahman, K. Sadakane, & W-K. Sung (版), WALCOM: Algorithms and Computation - 14th International Conference, WALCOM 2020, Proceedings (pp. 323-328). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 12049 LNCS). Springer. https://doi.org/10.1007/978-3-030-39881-1_27