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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/10303
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タイトル: | Hardness Results and an Exact Exponential Algorithm for the Spanning Tree Congestion Problem |
著者: | Okamoto, Yoshio Otachi, Yota Uehara, Ryuhei Uno, Takeaki |
キーワード: | Spanning tree congestion computational complexity exponential time algorithm |
発行日: | 2011-10 |
出版者: | Journal of Graph Algorithms and Applications |
誌名: | Journal of Graph Algorithms and Applications |
巻: | 15 |
号: | 6 |
開始ページ: | 727 |
終了ページ: | 751 |
抄録: | Spanning tree congestion is a relatively new graph parameter, which has been studied intensively. This paper studies the complexity of the problem to determine the spanning tree congestion for non-sparse graph classes, while it was investigated for some sparse graph classes before. We prove that the problem is NP-hard even for chain graphs and split graphs. To cope with the hardness of the problem, we present a fast (exponentialtime) exact algorithm that runs in O^*(2^n) time, where n denotes the number of vertices. Additionally, we present simple combinatorial lemmas, which yield a constant-factor approximation algorithm for cographs, and a linear-time algorithm for chordal cographs. |
Rights: | Copyright (C) 2011 Journal of Graph Algorithms and Applications. Yoshio Okamoto, Yota Otachi, Ryuhei Uehara, and Takeaki Uno, Journal of Graph Algorithms and Applications, 15(6), 2011, 727-751. |
URI: | http://hdl.handle.net/10119/10303 |
資料タイプ: | publisher |
出現コレクション: | b10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
ファイル |
記述 |
サイズ | 形式 |
17641.pdf | | 336Kb | Adobe PDF | 見る/開く |
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