|
|
JAIST Repository >
School of Information Science >
Articles >
Journal Articles >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10119/9176
|
| Title: | Efficient Enumeration of All Ladder Lotteries and Its Application |
| Authors: | Yamanaka, Katsuhisa
Nakano, Shin-ichi
Matsui, Yasuko
Uehara, Ryuhei
Nakada, Kento |
| Keywords: | Enumeration algorithm
Family tree
Ladder lottery
Pseudoline arrangement |
| Issue Date: | 2010-01-13 |
| Publisher: | Elsevier |
| Magazine name: | Theoretical Computer Science |
| Volume: | 411 |
| Number: | 16-18 |
| Start page: | 1714 |
| End page: | 1722 |
| DOI: | 10.1016/j.tcs.2010.01.002 |
| Abstract: | A ladder lottery, known as “Amidakuji” in Japan, is a common way to choose a permutation randomly. A ladder lottery L corresponding to a given permutation π is optimal if L has the minimum number of horizontal lines among the ladder lotteries corresponding to π. In this paper we show that for any two optimal ladder lotteries L_1 and L_2 of a permutation, there exists a sequence of local modifications which transforms L_1 into L_2. We also give an algorithm to enumerate all optimal ladder lotteries of a given permutation. By setting π=(n,n−1,…,1), the algorithm enumerates all arrangements of n pseudolines efficiently. By implementing the algorithm we compute the number of arrangements of n pseudolines for each n≤11. |
| 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 Katsuhisa Yamanaka, Shin-ichi Nakano, Yasuko Matsui, Ryuhei Uehara, and Kento Nakada, Theoretical Computer Science, 411(16-18), 2010, 1714-1722, http://dx.doi.org/10.1016/j.tcs.2010.01.002 |
| URI: | http://hdl.handle.net/10119/9176 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
|
Files in This Item:
| File |
Description |
Size | Format |
|---|
| 15049.pdf | | 162Kb | Adobe PDF | View/Open |
|
All items in DSpace are protected by copyright, with all rights reserved.
|
