| Presentation | 2001/10/12 Planar Reconfiguration of Monotone Trees Yoshiyuki KUSAKARI, Masaki SATO, Takao NISHIZEKI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A linkage is a collection of line segments, called bars, possibly joined at their ends, called joints. A planar reconfiguration of a linkage is a continuous motion of their bars, preserving the length of each bar and disallowing bars to cross. In this paper, we introduce a class of linkages, called "monotone trees, " and give a method for reconfiguring a monotone tree to a straight line. If the tree has n joints, then the method takes at most n-1 moves, each of which uses two joints. We also obtain an algorithm to find such a method in time Ο(n log n), using space Ο(n). These time and space complexities and optimal. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | linkage / monotone tree / planarreconfiguration / straightening / pulling operation / order graph |
| Paper # | COMP 2001-42 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2001/10/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Planar Reconfiguration of Monotone Trees |
| Sub Title (in English) | |
| Keyword(1) | linkage |
| Keyword(2) | monotone tree |
| Keyword(3) | planarreconfiguration |
| Keyword(4) | straightening |
| Keyword(5) | pulling operation |
| Keyword(6) | order graph |
| 1st Author's Name | Yoshiyuki KUSAKARI |
| 1st Author's Affiliation | Department of Electronics and Information Systems, Faculty of Systems Science and Technology, Akita Prefectural University() |
| 2nd Author's Name | Masaki SATO |
| 2nd Author's Affiliation | Industrial Systems Eng. Dept. 1, DENSO CORPORATION |
| 3rd Author's Name | Takao NISHIZEKI |
| 3rd Author's Affiliation | Graduate School of Information Science, Tohoku University |
| Date | 2001/10/12 |
| Paper # | COMP 2001-42 |
| Volume (vol) | vol.101 |
| Number (no) | 376 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |