On the snake in the box problem (Q1113920)

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scientific article; zbMATH DE number 4081594
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English
On the snake in the box problem
scientific article; zbMATH DE number 4081594

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    On the snake in the box problem (English)
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    1988
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    \textit{A. A. Evdokimov} [Maximal length of a circuit in a unitary n- dimensional cube, Mat. Zametki 6, 309-319 (1969; Zbl 0216.558)] has proved that the length of a longest cycle without chords in the graph of d-cube is greater than \(c2^ d\), where c is a positive constant. A recurrence inequality is derived which yields a short and simple proof of this result.
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    longest cycle
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    graph
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    cube
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