Research on geometric folding algorithms

• Project/Area Number: 26330009
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Theory of informatics
• Research Institution: Japan Advanced Institute of Science and Technology
• Principal Investigator: Uehara Ryuhei 北陸先端科学技術大学院大学, 先端科学技術研究科, 教授 (00256471)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: Computational Origami / Algorithm / Computational Geometry / Folding and Unfolding / Polyhedron / Polygon / アルゴリズム / データ構造 / 計算量的困難性 / 計算折り紙 / 展開図 / 多面体 / 計算幾何 / 計算量

Outline of Final Research Achievements

In this period, I published 7 journal papers and 18 international conference papers. I also given an invited talk at ICALP, which is one of the top conferences of the theoretical computer science in Europe. Especially, I contributed the following two topics about computational origami: research on the relationship between a polygon and plural polyhedra that can be folded from the polygon, and research on the counting and enumeration for given crease patterns of uniform (or almost uniform) intervals. From the viewpoint of social contributions, I was a member of program committee of an international conference about Origami Science, and manage a local symposium about Origami Science. Moreover, I did a joint research with high school students in a Super Science High school, and it was presented at ASME, American Society of Mechanical Engineers.

Research Products

• [Journal Article] Sankaku-Tori: An Old Western-Japanese Game Played on a Point Set (2017)
  • Author(s): Takashi Horiyama, Takashi Iizuka, Masashi Kiyomi, Yoshio Okamoto, Ryuhei Uehara, Takeaki Uno, Yushi Uno, and Yukiko Yamauchi
  • Journal Title: Journal of Information Processing Volume: 印刷中
  • NAID: 120005850326
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Common Developments of Three Incongruent Boxes of Area 30 (2017)
  • Author(s): D. Xu, T. Horiyama, T. Shirakawa, R. Uehara
  • Journal Title: Computational Geometry: Theory and Applications Volume: 印刷中 Pages: 1-17
  • DOI: 10.1016/j.comgeo.2017.03.001
  • NAID: 120005850316
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Ferrers Dimension of Grid Intersection Graphs (2016)
  • Author(s): Steven Chaplick, Pavol Hell, Yota Otachi, Toshiki Saitoh, and Ryuhei Uehara
  • Journal Title: Discrete Applied Mathematics Volume: to appear Pages: 130-135
  • DOI: 10.1016/j.dam.2015.05.035
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] The Convex Configurations of “Sei Shonagon Chie no Ita,” Tangram, and Other Silhouette Puzzles with Seven Pieces (2016)
  • Author(s): Eli Fox-Epstein, Kazuho Katsumata, and Ryuhei Uehara
  • Journal Title: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Volume: E99.A Issue: 6 Pages: 1084-1089
  • DOI: 10.1587/transfun.E99.A.1084
  • NAID: 130005154230
  • ISSN: 0916-8508, 1745-1337
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Common Unfolding of Regular Tetrahedron and JZ Solid (2016)
  • Author(s): Y. Araki, T. Horiyama, R. Uehara
  • Journal Title: Journal of Graph Algorithms and Applications Volume: 20 Issue: 1 Pages: 101-114
  • DOI: 10.7155/jgaa.00386
  • Peer Reviewed / Open Access
• [Journal Article] Folding a Paper Strip to Minimize Thickness (2016)
  • Author(s): Erik D. Demaine, David Eppstein, Adam Hesterberg, Hiro Ito, Anna Lubiw, Ryuhei Uehara, and Yushi Uno
  • Journal Title: Journal of Discrete Algorithms Volume: 36 Pages: 18-26
  • DOI: 10.1016/j.jda.2015.09.003
  • NAID: 120006380546
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] A Polynomial-Time Approximation Scheme for the Geometric Unique Coverage Problem on Unit Squares (2016)
  • Author(s): Takehiro Ito, Shin-ichi Nakano, Yoshio Okamoto, Yota Otachi, Ryuhei Uehara, Takeaki Uno, Yushi Uno,
  • Journal Title: Computational Geometry: Theory and Applications Volume: 51 Pages: 25-39
  • DOI: 10.1016/j.comgeo.2015.10.004
  • NAID: 120005954496
  • Peer Reviewed
• [Journal Article] Polynomial-time algorithms for Subgraph Isomorphism in small graph classes of perfect graphs (2016)
  • Author(s): Matsuo Konagaya, Yota Otachi, and Ryuhei Uehara
  • Journal Title: Discrete Applied Mathematics Volume: 199 Pages: 37-45
  • DOI: 10.1016/j.dam.2015.01.040
  • NAID: 120006380549
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Linear-Time Algorithm for Sliding Tokens on Trees (2015)
  • Author(s): Erik D Demaine, Martin L Demaine, Eli Fox-Epstein, Duc A Hoang, Takehiro Ito, Hirotaka Ono, Yota Otachi, Ryuhei Uehara, and Takeshi Yamada
  • Journal Title: Theoretical Computer Science Volume: 600 Pages: 132-142
  • DOI: 10.1016/j.tcs.2015.07.037
  • NAID: 120006355793
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Secure Sets and Defensive Alliances in Graphs: A Faster Algorithm and Improved Bounds (2015)
  • Author(s): Kazuyuki Amano, Kyaw May Oo, Yota Otachi, Ryuhei Uehara
  • Journal Title: IEICE Transactions on Information and Systems Volume: E98.D Issue: 3 Pages: 486-489
  • DOI: 10.1587/transinf.2014FCP0007
  • NAID: 130004841873
  • ISSN: 0916-8532, 1745-1361
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Cell-Paths in Mono- and Bichromatic Line Arrangements in the Plane (2014)
  • Author(s): Oswin Aichholzer, Jean Cardinal, Thomas Hackl, Ferran Hurtado, Matias Korman, Alexander Pilz, Rodrigo Silveira, Ryuhei Uehara, Pavl Valtr, Birgit Vogtenhuber, Emo Welzl
  • Journal Title: Discrete Mathematics and Theoretical Computer Science Volume: 16 Pages: 317-332
  • NAID: 120006675374
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] The graph isomorphism problem on geometric graphs (2014)
  • Author(s): Ryuhei Uehara
  • Journal Title: Discrete Mathematics and Theoretical Computer Science Volume: 16 Pages: 87-96
  • NAID: 120005528185
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] A 4.31-Approximation for the Geometric Unique Coverage Problem on Unit Disks (2014)
  • Author(s): Takehiro Ito, Shin-ichi Nakano, Yoshio Okamoto, Yota Otachi, Ryuhei Uehara, Takeaki Uno, Yushi Uno
  • Journal Title: Theoretical Computer Science Volume: 544 Pages: 14-31
  • DOI: 10.1016/j.tcs.2014.04.014
  • NAID: 120005893622
  • Peer Reviewed
• [Journal Article] Computational Complexity and an Integer Programming Model of Shakashaka (2014)
  • Author(s): Erik D. Demaine, Yoshio Okamoto, Ryuhei Uehara, Yushi Uno
  • Journal Title: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Volume: E97.A Issue: 6 Pages: 1213-1219
  • DOI: 10.1587/transfun.E97.A.1213
  • NAID: 130004770851
  • ISSN: 0916-8508, 1745-1337
  • Peer Reviewed
• [Journal Article] Computational Complexity of Piano-Hinged Dissections (2014)
  • Author(s): Zachary Abel, Erik D. Demaine, Martin L. Demaine, Takashi Horimaya, Ryuhei Uehara
  • Journal Title: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Volume: E97.A Issue: 6 Pages: 1206-1212
  • DOI: 10.1587/transfun.E97.A.1206
  • NAID: 130004770850
  • ISSN: 0916-8508, 1745-1337
  • Peer Reviewed
• [Journal Article] Base-object location problems for base-monotone regions (2013)
  • Author(s): J Chun, T. Horiyama, T. Ito, Natsuda Kaothanthong, H. Ono, Y. Otachi, T. Tokuyama, RUehara, and T. Uno
  • Journal Title: Theoretical Computer Science Volume: 555 Pages: 71-84
  • DOI: 10.1016/j.tcs.2013.11.030
  • Peer Reviewed / Open Access
• [Presentation] Sliding tokens on block graphs (2017)
  • Author(s): Duc Hoang, Eli Fox-Epstein and Ryuhei Uehara
  • Organizer: The 11th International Conference and Workshops on Algorithms and Computation (WALCOM 2017)
  • Place of Presentation: Hsinchu, Taiwan
  • Year and Date: 2017-03-29
  • Int'l Joint Research
• [Presentation] Sequentially Swapping Colored Tokens on Graphs (2017)
  • Author(s): Katsuhisa Yamanaka, Erik D. Demaine, Takashi Horiyama, Akitoshi Kawamura, Shin-Ichi Nakano, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Ryuhei Uehara and Takeaki Uno
  • Organizer: The 11th International Conference and Workshops on Algorithms and Computation (WALCOM 2017)
  • Place of Presentation: Hsinchu, Taiwan
  • Year and Date: 2017-03-29
  • Int'l Joint Research
• [Presentation] Efficient Enumeration of Flat-Foldable Single Vertex Crease Patterns (2017)
  • Author(s): Koji Ouchi and Ryuhei Uehara
  • Organizer: The 11th International Conference and Workshops on Algorithms and Computation (WALCOM 2017)
  • Place of Presentation: Hsinchu, Taiwan
  • Year and Date: 2017-03-29
  • Int'l Joint Research
• [Presentation] Sliding Tokens on a Cactus (2016)
  • Author(s): Duc A. Hoang and Ryuhei Uehara
  • Organizer: The 27th International Symposium on Algorithms and Computation (ISAAC 2016)
  • Place of Presentation: Hsinchu, Taiwan
  • Year and Date: 2016-12-12
  • Int'l Joint Research
• [Presentation] Unfolding and Dissection of Multiple Cubes (2016)
  • Author(s): Zachary Abel, Brand Ballinger, Erik D. Demaine, Martin L. Demaine, Jeff Erickson, Adam Hesterberg, Hiro Ito, Irina Kostitsyana, Jayson Lynch, and Ryuhei Uehara
  • Organizer: JCDCG3
  • Place of Presentation: 東京理科大学（東京都新宿区）
  • Year and Date: 2016-09-02
  • Int'l Joint Research
• [Presentation] Convex Configurations on Nana-kin-san Puzzle (2016)
  • Author(s): Takashi Horiyama, Ryuhei Uehara and Haruo Hosoya
  • Organizer: FUN with Algorithms
  • Place of Presentation: Maddalena Islands, Italy
  • Year and Date: 2016-06-08
  • Int'l Joint Research
• [Presentation] Shortest Reconfiguration of Sliding Tokens on a Caterpillar (2016)
  • Author(s): Takeshi Yamada and Ryuhei Uehara
  • Organizer: The 10th International Workshop on Algorithms and Computation (WALCOM 2016)
  • Place of Presentation: Kathmandu, Nepal
  • Year and Date: 2016-03-29
  • Int'l Joint Research
• [Presentation] Sliding Token on Bipartite Permutation Graphs (2015)
  • Author(s): Eli Fox-Epstein, Duc A. Hoang, Yota Otachi, and Ryuhei Uehara
  • Organizer: The 26th International Symposium on Algorithms and Computation (ISAAC 2015)
  • Place of Presentation: Nagoya Mariott Associa Hotel, Nagoya, Japan
  • Year and Date: 2015-12-09
  • Int'l Joint Research
• [Presentation] Convex Configurations of Dissection Puzzles with Seven Pieces (2015)
  • Author(s): Kazuho Katsumata and Ryuhei Uehara
  • Organizer: The 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG^2 2015)
  • Place of Presentation: Kyoto University, Kyoto, Japan
  • Year and Date: 2015-09-14
  • Int'l Joint Research
• [Presentation] Ls in L and Sphinxes in Sphinx (2015)
  • Author(s): Takashi Horiyama, Yoshio Okamoto and Ryuhei Uehara
  • Organizer: The 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG^2 2015)
  • Place of Presentation: Kyoto University, Kyoto, Japan
  • Year and Date: 2015-09-14
  • Int'l Joint Research
• [Presentation] Box Pleating is Hard (2015)
  • Author(s): Jason S. Ku, Hugo Akitaya, Erik D. Demaine, Tom Hull, Kenneth C. Cheung, Takashi Horiyama, Tomohiro Tachi and Ryuhei Uehara
  • Organizer: The 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG^2 2015)
  • Place of Presentation: Kyoto University, Kyoto, Japan
  • Year and Date: 2015-09-14
  • Int'l Joint Research
• [Presentation] Symmetric Assembly Puzzles are Hard, Beyond a Few Pieces (2015)
  • Author(s): Jason S. Ku, Erik D. Demaine, Matias Korman, Joseph Mitchell, Yota Otachi, Marcel Roeloffzen, Ryuhei Uehara, Yushi Uno and Andre van Renssen
  • Organizer: The 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG^2 2015)
  • Place of Presentation: Kyoto University, Kyoto, Japan
  • Year and Date: 2015-09-14
  • Int'l Joint Research
• [Presentation] Single-Player and Two-Player Buttons & Scissors Games (2015)
  • Author(s): Kyle Burke, Erik Demaine, Robert Hearn, Adam Hesterberg, Michael Hoffman, Hiro Ito, Irina Kostitsyna, Maarten Loffler, Yushi Uno, Christiane Schmidt, Ryuhei Uehara and Aaron Williams
  • Organizer: The 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCG^2 2015)
  • Place of Presentation: Kyoto University, Kyoto, Japan
  • Year and Date: 2015-09-14
  • Int'l Joint Research
• [Presentation] Ls in L and Sphinxes in Sphinx (2015)
  • Author(s): Takashi Horiyama, Yoshio Okamoto and Ryuhei Uehara
  • Organizer: The 18th Korea-Japan Joint Workshop on Algorithms and Computation
  • Place of Presentation: Incheon, Korea
  • Year and Date: 2015-08-21
  • Int'l Joint Research
• [Presentation] Convex Configurations of Dissection Puzzles with Seven Pieces (2015)
  • Author(s): Kazuho Katsumata and Ryuhei Uehara
  • Organizer: The 18th Korea-Japan Joint Workshop on Algorithms and Computation
  • Place of Presentation: Incheon, Korea
  • Year and Date: 2015-08-21
  • Int'l Joint Research
• [Presentation] Swapping Colored Tokens on Graphs (2015)
  • Author(s): Katsuhisa Yamanaka, Takashi Horiyama, David Kirkpatrick, Yota Otachi, Toshiki Saitoh, Ryuhei Uehara and Yushi Uno
  • Organizer: Algorithms and Data Structures Symposium (WADS 2015)
  • Place of Presentation: Victoria, Canada
  • Year and Date: 2015-08-05
  • Int'l Joint Research
• [Presentation] Competitive Diffusion on Weighted Graphs (2015)
  • Author(s): Takehiro Ito, Yota Otachi, Toshiki Saitoh, Hisayuki Satoh, Akira Suzuki, Kei Uchizawa, Ryuhei Uehara, Katsuhisa Yamanaka and Xiao Zhou
  • Organizer: Algorithms and Data Structures Symposium (WADS 2015)
  • Place of Presentation: Victoria, Canada
  • Year and Date: 2015-08-05
  • Int'l Joint Research
• [Presentation] On a Stiffness Model for Origami Foldings (2015)
  • Author(s): Yusuke Nakada, Yota Fujieda, Taisei Mori, Hiroshi Iwai, Kazumasa Nakaya, Ryuhei Uehara, and Masashi Yamabe
  • Organizer: ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
  • Place of Presentation: Boston, USA
  • Year and Date: 2015-08-02
  • Int'l Joint Research
• [Presentation] Computational Complexity of Puzzles and Games (2015)
  • Author(s): Ryuhei Uehara
  • Organizer: The 42nd International Colloquium on Automata, Languages, and Programming (ICALP 2015)
  • Place of Presentation: Grand Prince Hotel Kyoto, Kyoto, Japan
  • Year and Date: 2015-06-06
  • Int'l Joint Research / Invited
• [Presentation] Common Developments of Three Incongruent Boxes of Area 30 (2015)
  • Author(s): Dawei Xu, Takashi Horiyama, Toshihiro Shirakawa and Ryuhei Uehara
  • Organizer: The 12th Annual Conference on Theory and Applications of Models of Computation (TAMC 2015)
  • Place of Presentation: Singapore
  • Year and Date: 2015-05-18
  • Int'l Joint Research
• [Presentation] Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid (2015)
  • Author(s): Yoshiaki Araki, Takashi Horiyama and Ryuhei Uehara
  • Organizer: The 9th Workshop on Algorithms and Computation (WALCOM 2015)
  • Place of Presentation: Dhaka, Bangladesh
  • Year and Date: 2015-02-26 – 2015-02-28
• [Presentation] Folding a Paper Strip to Minimize Thickness (2015)
  • Author(s): Erik D. Demaine, David Eppstein, Adam Hesterberg, Hiro Ito, Anna Lubiw, Ryuhei Uehara and Yushi Uno
  • Organizer: The 9th Workshop on Algorithms and Computation (WALCOM 2015)
  • Place of Presentation: Dhaka, Bangladesh
  • Year and Date: 2015-02-26 – 2015-02-28
• [Presentation] Depth-First Search Using O(n) Bits (2014)
  • Author(s): Tetsuo Asano, Taisuke Izumi, Masashi Kiyomi, Matsuo Konagaya, Yota Otachi, Hirotaka Ono, Pascal Schweitzer, Jun Tarui and Ryuhei Uehara
  • Organizer: The 25th International Symposium on Algorithms and Computation (ISAAC 2014)
  • Place of Presentation: Jeonju, Korea
  • Year and Date: 2014-12-15 – 2014-12-17
• [Presentation] Polynomial-Time Algorithm for Sliding Tokens on Trees (2014)
  • Author(s): Erik D. Demaine, Martin Demaine, Eli Fox-Epstein, Duc A. Hoang, Takehiro Ito, Hirotaka Ono, Yota Otachi, Ryuhei Uehara and Takeshi Yamada
  • Organizer: The 25th International Symposium on Algorithms and Computation (ISAAC 2014)
  • Place of Presentation: Jeonju, Korea
  • Year and Date: 2014-12-15 – 2014-12-17
• [Presentation] Flat Foldings of Plane Graphs with Prescribed Angles and Edge (2014)
  • Author(s): Zachary Abel, Erik D. Demaine, Martin Demaine, David Eppstein, Anna Lubiw and Ryuhei Uehara
  • Organizer: The 22nd International Symposium on Graph Drawing (GD 2014)
  • Place of Presentation: Wurzburg, Germany
  • Year and Date: 2014-09-24 – 2014-09-26
• [Presentation] Bumpy Pyramid Folding (2014)
  • Author(s): Zachary Abel, Erik D. Demaine, Martin Demaine, Hiro Ito, Jack Snoeyink and Ryuhei Uehara
  • Organizer: The 26th Canadian Conference on Computational Geometry (CCCG 2014)
  • Place of Presentation: Halifax, Canada
  • Year and Date: 2014-08-11 – 2014-08-13
• [Presentation] The Convex Configurations of ``Sei Shonagon Chie no Ita'' and Other Dissection Puzzles (2014)
  • Author(s): Eli Fox-Epstein and Ryuhei Uehara
  • Organizer: The 26th Canadian Conference on Computational Geometry (CCCG 2014)
  • Place of Presentation: Halifax, Canada
  • Year and Date: 2014-08-11 – 2014-08-13
• [Presentation] A Survey and Recent Results About Common Developments of Two or More Boxes (2014)
  • Author(s): Ryuhei Uehara
  • Organizer: The 6th International Meeting on Origami in Science, Mathematics and Education (6OSME)
  • Place of Presentation: University of Tokyo, Tokyo, Japan.
  • Year and Date: 2014-08-10 – 2014-08-13
• [Presentation] Sankaku-Tori: An Old Western-Japanese Game Played on a Point Set (2014)
  • Author(s): Takashi Horiyama, Masashi Kiyomi, Yoshio Okamoto, Ryuhei Uehara, Takeaki Uno, Yushi Uno and Yukiko Yamauchi
  • Organizer: International Conference on FUN WITH ALGORITHMS 2014
  • Place of Presentation: Sicily, Italy
  • Year and Date: 2014-07-01 – 2014-07-03
• [Book] ガードナーの予期せぬ絞首刑 (2017)
  • Author(s): マーティン・ガードナー著，岩沢宏和・上原隆平訳
  • Total Pages: 377
  • Publisher: 日本評論社
• [Book] ガードナーの新・数学娯楽 (2016)
  • Author(s): マーティン・ガードナー著，岩沢宏和・上原隆平訳
  • Total Pages: 371
  • Publisher: 日本評論社
• [Book] Origami 6 (2016)
  • Author(s): Koryo Miura, Toshikazu Kawasaki, Tomohiro Tachi, Ryuhei Uehara, Robert J. Lang, and Patsy Wang-Inverson (Editors)
  • Total Pages: 744
  • Publisher: American Mathematics Society
• [Book] ガードナーの数学娯楽 (2015)
  • Author(s): マーティン・ガードナー著，岩沢宏和・上原隆平訳
  • Total Pages: 320
  • Publisher: 日本評論社
• [Book] ガードナーの数学パズル・ゲーム (2015)
  • Author(s): マーティン・ガードナー著，岩沢宏和・上原隆平訳
  • Total Pages: 288
  • Publisher: 日本評論社
• [Remarks] 上原隆平のページ
  • URL: http://www.jaist.ac.jp/~uehara/
• [Remarks] Publications by R. Uehara
  • URL: http://www.jaist.ac.jp/~uehara/pub/index.html