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Gröbner bases techniques for an \(S\)-packing \(k\)-coloring of a graph - MaRDI portal

Gröbner bases techniques for an \(S\)-packing \(k\)-coloring of a graph (Q2401415)

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Gröbner bases techniques for an \(S\)-packing \(k\)-coloring of a graph
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    Gröbner bases techniques for an \(S\)-packing \(k\)-coloring of a graph (English)
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    8 September 2017
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    In this interesting paper, the author uses combinatorial commutative algebra theory to study the problem of the \(S\)-packing coloring of a finite undirected and unweighted graph by introducing a family of polynomials encoding the problem. A method to find the \(S\)-packing colorings of the graph is presented and illustrated by examples.
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    Gröbner basis
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    zero dimensional ideal
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    \(S\)-packing colorings
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    Shape's lemma
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