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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/13768

Title: Swapping Colored Tokens on Graphs
Authors: Yamanaka, Katsuhisa
Horiyama, Takashi
Kirkpatrick, David
Otachi, Yota
Saitoh, Toshiki
Uehara, Ryuhei
Uno, Yushi
Keywords: reconfiguration problem
swapping colored token
graph class
polynomial tiem algorithm
Issue Date: 2015-08-05
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 9214
Start page: 619
End page: 628
DOI: 10.1007/978-3-319-21840-3_51
Abstract: We investigate the computational complexity of the followingproblem. We are given a graph in which each vertex has the current and target colors. Each pair of adjacent vertices can swap their current colors. Our goal is to perform as small numbers of swappings as possible so that the current and target colors agree at each vertex. When the colors are chosen from {1,2,...,c}, we call this problem c-Colored Token Swapping since the current color of a vertex can be seen as a colored token placed on the vertex. We show that c-Colored Token Swapping is NP-complete for every constant c>3 even if input graphs are restricted to connected planar bipartite graphs of maximum degree 3. We then show that 2-Colored Token Swapping can be solved in polynomial time for general graphs and in linear time for trees.
Rights: This is the author-created version of Springer, Katsuhisa Yamanaka, Takashi Horiyama, David Kirkpatrick, Yota Otachi, Toshiki Saitoh, Ryuhei Uehara and Yushi Uno, Lecture Notes in Computer Science, 9214, 2015, 619-628. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-319-21840-3_51
URI: http://hdl.handle.net/10119/13768
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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