Sequentially Swapping Colored Tokens on Graphs

Katsuhisa Yamanaka; Erik Demaine; Takashi Horiyama; Akitoshi Kawamura; Shin-ichi Nakano; Yoshio Okamoto; Toshiki Saitoh; Akira Suzuki; Ryuhei Uehara; Takeaki Uno

doi:10.7155/jgaa.00482

Sequentially Swapping Colored Tokens on Graphs

Authors

Katsuhisa Yamanaka
Erik Demaine
Takashi Horiyama
Akitoshi Kawamura
Shin-ichi Nakano
Yoshio Okamoto
Toshiki Saitoh
Akira Suzuki
Ryuhei Uehara
Takeaki Uno

DOI:

https://doi.org/10.7155/jgaa.00482

Keywords:

sequential token swapping problem , inapproximability , gap-preserving reduction , polynomial-time algorithms

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.

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Published

2024-03-16

How to Cite

Yamanaka, K., Demaine, E., Horiyama, T., Kawamura, A., Nakano, S.- ichi, Okamoto, Y., … Uno, T. (2024). Sequentially Swapping Colored Tokens on Graphs. Journal of Graph Algorithms and Applications, 23(1), 3–27. https://doi.org/10.7155/jgaa.00482