Approximation algorithm for the distance-3 independent set problem on cubic graphs

Hiroshi Eto, Takehiro Ito, Zhilong Liu, Eiji Miyano

研究成果: Conference contribution

5 被引用数 (Scopus)

抄録

For an integer d ≥ 2, a distance-d independent set of an unweighted graph G = (V,E) is a subset S ⊆ V of vertices such that for any pair of vertices u, v ∈ S, the number of edges in any path between u and v is at least d in G. Given an unweighted graph G, the goal of Maximum Distance-d Independent Set problem (MaxDdIS) is to find a maximum-cardinality distance-d independent set of G. In this paper we focus on MaxD3IS on cubic (3-regular) graphs. For every fixed integer d ≥ 3, MaxDdIS is NP-hard even for planar bipartite graphs of maximum degree three. Furthermore, when d = 3, it is known that there exists no σ-approximation algorithm for MaxD3IS oncubic graphs for constant σ < 1. 00105. On the other hand, the previously best approximation ratio known for MaxD3IS on cubic graphs is 2. In this paper, we improve the approximation ratio into 1.875 for MaxD3IS on cubic graphs.

本文言語English
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 - 11th International Conference and Workshops, WALCOM 2017, Proceedings
編集者Md. Saidur Rahman, Hsu-Chun Yen, Sheung-Hung Poon
出版社Springer Verlag
ページ228-240
ページ数13
ISBN(印刷版)9783319539249
DOI
出版ステータスPublished - 2017
イベント11th International Conference and Workshops on Algorithms and Computation, WALCOM 2017 - Hsinchu, Taiwan, Province of China
継続期間: 2017 3 292017 3 31

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)
10167 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other11th International Conference and Workshops on Algorithms and Computation, WALCOM 2017
国/地域Taiwan, Province of China
CityHsinchu
Period17/3/2917/3/31

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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