Resolution of Conjectures Related to Lights Out! and Cartesian Products

zbMath1404.05128arXiv1802.05359MaRDI QIDQ4615413

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Publication date: 28 January 2019

Full work available at URL: https://arxiv.org/abs/1802.05359

zbMATH Keywords

Sylvester equationmatrixLights Out!

Mathematics Subject Classification ID

Games involving graphs (91A43) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vector spaces, linear dependence, rank, lineability (15A03) Games on graphs (graph-theoretic aspects) (05C57) Graph operations (line graphs, products, etc.) (05C76)

Related Items (1)

Solutions to all-colors problem on graph cellular automata

Cites Work

• Unnamed Item
• Fibonacci polynomials and parity domination in grid graphs
• Linear cellular automata and the garden-of-eden
• A Survey of the Game “Lights Out!”
• How and Why to Solve the Operator Equation AX −XB = Y
• LIGHTS OUT! on Cartesian Products
• The Matrix Equation $AX + XB = C$

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