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 SizeFormat
15049.pdf162KbAdobe PDFView/Open

All items in DSpace are protected by copyright, with all rights reserved.

 


Contact : Library Information Section, JAIST (ir-sys[at]ml.jaist.ac.jp)