Approximability of the path-distance-width for AT-free graphs

Yota Otachi, Toshiki Saitoh, Katsuhisa Yamanaka, Shuji Kijima, Yoshio Okamoto, Hirotaka Ono, Yushi Uno, Koichi Yamazaki

研究成果: 著書/レポートタイプへの貢献会議での発言

2 引用 (Scopus)

抜粋

The path-distance-width of a graph measures how close the graph is to a path. We consider the problem of determining the path-distance-width for graphs with chain-like structures such as k-cocomparability graphs, AT-free graphs, and interval graphs. We first show that the problem is NP-hard even for a very restricted subclass of AT-free graphs. Next we present simple approximation algorithms with constant approximation ratios for graphs with chain-like structures. For instance, our algorithm for AT-free graphs has approximation factor 3 and runs in linear time. We also show that the problem is solvable in polynomial time for the class of cochain graphs, which is a subclass of the class of proper interval graphs.

元の言語英語
ホスト出版物のタイトルGraph-Theoretic Concepts in Computer Science - 37th International Workshop, WG 2011, Revised Papers
ページ271-282
ページ数12
DOI
出版物ステータス出版済み - 12 1 2011
イベント37th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2011 - Tepla Monastery, チェコ共和国
継続期間: 6 21 20116 24 2011

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)
6986 LNCS
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他37th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2011
チェコ共和国
Tepla Monastery
期間6/21/116/24/11

    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

Otachi, Y., Saitoh, T., Yamanaka, K., Kijima, S., Okamoto, Y., Ono, H., ... Yamazaki, K. (2011). Approximability of the path-distance-width for AT-free graphs. : Graph-Theoretic Concepts in Computer Science - 37th International Workshop, WG 2011, Revised Papers (pp. 271-282). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 6986 LNCS). https://doi.org/10.1007/978-3-642-25870-1_25