A short proof of a theorem of Bannai and Ito (Q752725)
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scientific article; zbMATH DE number 4179405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A short proof of a theorem of Bannai and Ito |
scientific article; zbMATH DE number 4179405 |
Statements
A short proof of a theorem of Bannai and Ito (English)
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1989
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A short proof is offered to the following theorem due to \textit{E. Bannai} and \textit{T. Ito} [J. Comb. Theory, Ser. B. 27, 274-293 (1979; Zbl 0427.15005)]: The eigenvalues of Moore polygons are at most quadratic with respect to the field of rational numbers. The present proof is based on an equation by the author [Discrete Math. 67, 89-96 (1987; Zbl 0671.05061)] satisfied by the eigenvalues of any generalized Moore geometry \(GM_ m(1,t,c)\) where \(t>1\).
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distance-regular graph
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diameter
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adjacency matrix
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Moore polygons
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