Vol. 12, No. 4, 2019

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On weight-one solvable configurations of the Lights Out puzzle

Yuki Hayata and Masakazu Yamagishi

Vol. 12 (2019), No. 4, 713–720
DOI: 10.2140/involve.2019.12.713
Abstract

We show that the center-one configuration is always solvable in the Lights Out puzzle on a square grid with odd vertices.

Keywords
Lights Out, path graph, Cartesian product, linear code
Mathematical Subject Classification 2010
Primary: 05C57
Secondary: 05C38, 91A46, 94B60
Milestones
Received: 22 September 2018
Accepted: 25 October 2018
Published: 16 April 2019

Communicated by Kenneth S. Berenhaut
Authors
Yuki Hayata
Field of Mathematics and Mathematical Science
Department of Computer Science and Engineering
Graduate School of Engineering
Nagoya Institute of Technology
Nagoya
Japan
Masakazu Yamagishi
Department of Mathematics
Nagoya Institute of Technology
Nagoya
Japan