@article{74e1d3670c884188b3a83c25458f0917,
title = "Sequentially swapping colored tokens on graphs",
abstract = "We consider a puzzle consisting of colored tokens on an n-vertex graph, where each token has a distinct starting vertex and a set of allowable target vertices for it to reach, and the only allowed transformation is to {"}sequentially{"} move the chosen token along a path of the graph by swapping it with other tokens on the path.",
author = "Katsuhisa Yamanaka and Demaine, {Erik D.} and Takashi Horiyama and Akitoshi Kawamura and Nakano, {Shin Ichi} and Yoshio Okamoto and Toshiki Saitoh and Akira Suzuki and Ryuhei Uehara and Takeaki Uno",
note = "Funding Information: Revised: Reviewed: June 2018 October 2018 Final: Published: November 2018 January 2019 Communicated by: M.S. Rahman, H.-C. Yen and S.-H. Poon A preliminary version of this paper was presented to the The 11th International Conference and Workshops on Algorithms and Computation (WALCOM 2017), Hsinchu, Taiwan, 2017. This work is partially supported by MEXT/JSPS KAKENHI Grant Numbers JP15H03389, JP15H05711, JP15K00008, JP15K00009, JP15KT0020, JP16H01743, JP16K00002, JP16K12539, JP16K16006, JP17H06287, JP17K00003, JP17K12636, JP17K19960, and JP18H04091, the Asahi Glass Foundation, Kayamori Foundation of Informational Science Advancement, and JST CREST Grant Numbers JPMJCR1401 and JPMJCR1402. E-mail addresses: yamanaka@cis.iwate-u.ac.jp (Katsuhisa Yamanaka) edemaine@mit.edu (Erik D. Demaine) horiyama@al.ics.saitama-u.ac.jp (Takashi Horiyama) kawamura@inf.kyushu-u.ac.jp (Akitoshi Kawamura) nakano@cs.gunma-u.ac.jp (Shin-ichi Nakano) okamotoy@uec.ac.jp (Yoshio Okamoto) toshikis@ces.kyutech.ac.jp (Toshiki Saitoh) a.suzuki@ecei.tohoku.ac.jp (Akira Suzuki) uehara@jaist.ac.jp (Ryuhei Uehara) uno@nii.jp (Takeaki Uno) Funding Information: This work is partially supported by MEXT/JSPS KAKENHI Grant Numbers JP15H03389, JP15H05711, JP15K00008, JP15K00009, JP15KT0020, JP16H01743, JP16K00002, JP16K12539, JP16K16006, JP17H06287, JP17K00003, JP17K12636, JP17K19960, and JP18H04091, the Asahi Glass Foundation, Kayamori Foundation of Informational Science Advancement, and JST CREST Grant Numbers JPMJCR1401 and JPMJCR1402. Publisher Copyright: {\textcopyright} 2019, Brown University. All rights reserved.",
year = "2019",
doi = "10.7155/JGAA.00482",
language = "English",
volume = "23",
pages = "3--27",
journal = "Journal of Graph Algorithms and Applications",
issn = "1526-1719",
publisher = "Brown University",
number = "1",
}