Presentation 2005-07-13
An Algorithm for Generating Radial Trees
Yoshiyuki KUSAKARI, Yoshimi NIISATO, Junichi NOTOYA, Masao KASAI,
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Abstract(in English) Recently, some algorithms have been developed for generating instances of difficult problems, such as NP-hard or PSPACE-hard. Alt et.al. have showed that the decision problem for flattening the tree linkage, that is, whether the tree linkage could be flattened or not without crossing any two bars [2]. For such problem, the "radial tree" is considered [9]. In this paper, we give an algorithm for generating a radial tree T, in time O(n log n) using space O(n) if T has n joints. Our algorithm is a plane sweep type algorithm using a circle instead of a line.
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Keyword(in English) instance generation / PSPACE-hard / NP-hard / linkage / flattening / monotone tree / radial tree
Paper # DE2005-40
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Committee DE
Conference Date 2005/7/6(1days)
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Registration To Data Engineering (DE)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Algorithm for Generating Radial Trees
Sub Title (in English)
Keyword(1) instance generation
Keyword(2) PSPACE-hard
Keyword(3) NP-hard
Keyword(4) linkage
Keyword(5) flattening
Keyword(6) monotone tree
Keyword(7) radial tree
1st Author's Name Yoshiyuki KUSAKARI
1st Author's Affiliation Department of Electronics and Information Systems, Faculty of Systems Science and Thechnology, Akita Prefectural University()
2nd Author's Name Yoshimi NIISATO
2nd Author's Affiliation Department of Electronics and Information Systems, Graduate School of Systems Science and Thechnology, Akita Prefectural University
3rd Author's Name Junichi NOTOYA
3rd Author's Affiliation Department of Electronics and Information Systems, Faculty of Systems Science and Thechnology, Akita Prefectural University
4th Author's Name Masao KASAI
4th Author's Affiliation Department of Electronics and Information Systems, Faculty of Systems Science and Thechnology, Akita Prefectural University
Date 2005-07-13
Paper # DE2005-40
Volume (vol) vol.105
Number (no) 171
Page pp.pp.-
#Pages 6
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