How does Sudoku acquire integral eigenvalues?

DOI10.1007/s00591-010-0076-4zbMath1203.05095OpenAlexW1966572942MaRDI QIDQ601781

Walter Klotz, Torsten Sander

Publication date: 29 October 2010

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-010-0076-4

zbMATH Keywords

Cayley graphintegral eigenvalueSudoku graphSudoku puzzle

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Orthogonal arrays, Latin squares, Room squares (05B15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Coloring of graphs and hypergraphs (05C15) Combinatorial games (91A46)

Related Items (2)

Eigenvalues of Cayley graphs ⋮ Spectrum of free-form Sudoku graphs

Cites Work

• Sudoku in mathematics lessons
• Integral Cayley graphs over Abelian groups
• A complete solution to the existence and nonexistence of Knut Vik designs and orthogonal Knut Vik designs
• Spectra of graphs with transitive groups
• Sudoku graphs are integral
• Sudoku, Gerechte Designs, Resolutions, Affine Space, Spreads, Reguli, and Hamming Codes
• A survey on integral graphs
• Graphs with least eigenvalue \(-2\): The star complement technique
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