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On the chromatic number of rational five-space - MaRDI portal

On the chromatic number of rational five-space (Q917571)

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scientific article; zbMATH DE number 4156469
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English
On the chromatic number of rational five-space
scientific article; zbMATH DE number 4156469

    Statements

    On the chromatic number of rational five-space (English)
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    1990
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    Let \(Q^ 5\) denote the collection of all the rational points in \(E^ 5\) and let \(G(Q^ 5)\) denote the graph obtained by taking \(Q^ 5\) as its vertex set and connecting 2 points iff they are at a distance 1. There is shown that the graph \(G(Q^ 5)\) has chromatic number at least 6 and clique number 4.
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    rational points
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    chromatic number
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    clique number
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