|
JAIST Repository >
b. 情報科学研究科・情報科学系 >
b10. 学術雑誌論文等 >
b10-1. 雑誌掲載論文 >
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/10119/9180
|
| タイトル: | Laminar Structure of Ptolemaic Graphs with Applications |
| 著者: | Uehara, Ryuhei
Uno, Yushi |
| キーワード: | Algorithmic graph theory
Data structures
γ-acyclicity
Hamiltonian cycle
Intersection model
Ptolemaic graphs |
| 発行日: | 2008-10-23 |
| 出版者: | Elsevier |
| 誌名: | Discrete Applied Mathematics |
| 巻: | 157 |
| 号: | 7 |
| 開始ページ: | 1533 |
| 終了ページ: | 1543 |
| DOI: | 10.1016/j.dam.2008.09.006 |
| 抄録: | Ptolemaic graphs are those satisfying the Ptolemaic inequality for any four vertices. The graph class coincides with the intersection of chordal graphs and distance hereditary graphs. It can also be seen as a natural generalization of block graphs (and hence trees). In this paper, we first state a laminar structure of cliques, which leads to its canonical tree representation. This result is a translation of γ-acyclicity which appears in the context of relational database schemes. The tree representation gives a simple intersection model of ptolemaic graphs, and it is constructed in linear time from a perfect elimination ordering obtained by the lexicographic breadth first search. Hence the recognition and the graph isomorphism for ptolemaic graphs can be solved in linear time. Using the tree representation, we also give an efficient algorithm for the Hamiltonian cycle problem. |
| Rights: | NOTICE: This is the author’s version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structural formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Ryuhei Uehara and Yushi Uno, Discrete Applied Mathematics, 157(7), 2008, 1533-1543, http://dx.doi.org/10.1016/j.dam.2008.09.006 |
| URI: | http://hdl.handle.net/10119/9180 |
| 資料タイプ: | author |
| 出現コレクション: | b10-1. 雑誌掲載論文 (Journal Articles)
|
このアイテムのファイル:
| ファイル |
記述 |
サイズ | 形式 |
|---|
| 13862.pdf | | 173Kb | Adobe PDF | 見る/開く |
|
当システムに保管されているアイテムはすべて著作権により保護されています。
|
