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On Approximation Algorithms for Coloring k-Colorable Graphs
http://hdl.handle.net/2237/15063
http://hdl.handle.net/2237/1506350383c2f-b311-4817-b5ac-23d1cd0f6a3b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
462.pdf (236.1 kB)
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| アイテムタイプ | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2011-07-13 | |||||
| タイトル | ||||||
| タイトル | On Approximation Algorithms for Coloring k-Colorable Graphs | |||||
| 言語 | en | |||||
| 著者 |
XIE, Xuzhen
× XIE, Xuzhen× ONO, Takao× HIRATA, Tomio |
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| アクセス権 | ||||||
| アクセス権 | open access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
| 権利 | ||||||
| 権利情報 | Copyright (C) 2003 IEICE | |||||
| 言語 | en | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | graph coloring | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | approximation algorithms | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | NP-hard | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | maximum degree | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Karger, Motwani and Sudan presented a graph coloring algorithm based on semidefinite programming, which colors any k-colorable graph with maximum degree Δ using Õ(Δ^1-2/k) colors. This algorithm leads to an algorithm for k-colorable graph using Õ(n ^1-3/^(k+1)) colors. This improved Wigderson's algorithm, which uses O(n^1-1/^(k-1)) colors, containing as a subroutine an algorithm using (Δ+1) colors for graphs with maximum degree Δ. It is easy to imagine that an algorithm which uses less colors in terms of Δ leads to an algorithm which uses less colors in terms of n. In this paper, we consider this influence assuming that we have an algorithm which uses Õ(Δ^1-x/k) colors for 2<x<3. Specifically, we will show that the algorithms of Karger et al., of Blum and Karger and of Halperin et al. can be improved under this assumption. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | Institute of Electronics, Information and Communication Engineers | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| 関連情報 | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | URI | |||||
| 関連識別子 | http://www.ieice.org/jpn/trans_online/index.html | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0916-8508 | |||||
| 書誌情報 |
en : IEICE transactions on fundamentals of electronics, communications and computer sciences 巻 E86-A, 号 5, p. 1046-1051, 発行日 2003-05-01 |
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| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://www.ieice.org/jpn/trans_online/index.html | |||||
| 識別子タイプ | URI | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/15063 | |||||
| 識別子タイプ | HDL | |||||
