![]() Thus any position can be written as such a 49-73.Ĭonsider the lights as a list (or vector) of 25 values, 0 if the light is σ-Automata and Chebyshev-Polynomials, by Klaus Sutner (1996). The Resolution of Singular Algebraic Varieties, Clay mathematics Proceedings, vol. Algebraic Approaches to FlipIt, by Josef Schicho and Jaap Top. Two Reflected Analyses of Lights Out, by Óscar Martín-Sánchez and Cristóbal Pareja-Flores (1998). Lights Out!: A Survey of Parity Domination in Grid Graphs, by William F. Chebyshev polynomials over finite fields and reversability of σ-automata on square grids, by Markus Hunziker, António Machiavelo, and Jihun Park. To appear in the European Journal of Combinatorics. Does the lit-only restriction make any difference for the σ-game and σ +-game?, by John Goldwasser, Xinmao Wang, and Yaokun Wu (2008). Odd and Even Dominating Sets with Open Neighborhoods, by John L. Fibonacci Polynomials and Parity Domination in Grid Graphs, by John Goldwasser, William F. Maximization Versions of "Lights Out" Games in Grids and Graphs, by John Goldwasser and William F. Characterizing Switch-Setting Problems, by John Goldwasser, William F. of Statistics and Computer Science, West Virginia University. Setting Switches in a Grid, by John Goldwasser, William F. Note on the lamp lighting problem, by Henrik Eriksson, Kimmo Eriksson and Jonas Sjöstrand (2001). ![]() Proceedings of 12th Annual ACM/SIAM Symposium on Discrete Algorithms, January 2001, pp. Universal Configurations in Light-Flipping Games, by Yevgeniy Dodis and Peter Winkler (2001). Loop Deletion for the Lamp Lighting Problem, by William Y. Turning Lights Out with Linear Algebra, by M. Here is a list of some of the better ones: ![]() Results that I won't be able to prove here. Mathematical research papers which are related to the game, and have some interesting Of the XL-25, and some of the information below is based on that. A good simple reference for the mathematics is Issueħ/8 of Cubic Circular (David Singmaster, Summer 1985) which has an analysis
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