Designing highly functional and practical coding-algorithms of plane graphs

2012 Fiscal Year Final Research Report

• Project/Area Number: 23700012
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Fundamental theory of informatics
• Research Institution: Iwate University
• Principal Investigator: YAMANAKA Katsuhisa 岩手大学, 工学部, 助教 (60508836)
• Project Period (FY): 2011 – 2012
• Keywords: アルゴリズム理論 / グラフ理論

Research Abstract

In this research, we have designed some coding algorithms for important subclasses of plane graphs. First, we define a subclass of ordered trees which has a 1-to-1 correspondence to a class of rooted trees, and design a compact code for such ordered tree. For grid rectangular drawings and mosaic floorplans, which have applications to VLSI design, we proposed some compact codes. We also proposed a compact code for optimal ladder lotteries. Using the code, we give an upper bound for the number of optimal ladder lotteries.

Research Products

• [Journal Article] A compact encoding of rectangular drawings with edge lengths, IEICE Transactions on Fundamentals of Electronics (2013)
  • Author(s): Shin-ichi Nakano and Katsuhisa Yama- naka
  • Journal Title: Communications and Computer Sciences Volume: vol.E96-A(掲載決定)
  • Peer Reviewed
• [Journal Article] 格子方形描画のコンパクトな符号 (2011)
  • Author(s): 須田亮平,中野眞一,山中克久
  • Journal Title: 電子情報通信学会和文論文誌D Volume: J94-D巻,12号 Pages: 2031-2036
  • URL: http://search.ieice.org/bin/pdf.php?lang=J&year=2011&fname=j94-d_12_2031&abst=j
  • Peer Reviewed
• [Presentation] Another optimal binary representtation of mosaic floorplans (2013)
  • Author(s): Katsuhisa Yamanaka and Shin-ichi Nakano
  • Organizer: 情報処理学会第144回アルゴリズム研究会
  • Place of Presentation: 小樽商科大学(北海道)
  • Year and Date: 2013-05-17
• [Presentation] Coding ladder lotteries (2013)
  • Author(s): Tomoki Aiuchi, Katsuhisa Yamanaka, Takashi Hirayama, and Yasuaki Nishitani
  • Organizer: European Workshop on Computational Geometory(EuroCG 2013)
  • Place of Presentation: House of Science(ドイツ,ブラウンシュバイク)
  • Year and Date: 2013-03-19
• [Presentation] Compact codes of rooted trees (2012)
  • Author(s): Katsuhisa Yamanaka
  • Organizer: 第25回回路とシステムワークショップ
  • Place of Presentation: 淡路国際夢舞台(兵庫県)(第25回回路とシステムワークショップ奨励賞受賞)
  • Year and Date: 2012-07-30