Gröbner Bases Techniques for an $S$-Packing $k$-Coloring of a Graph

Hamid Maarouf

Abstract


In this paper, polynomial ideal theory is used to deal with 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.

Keywords


Gröbner basis; Zero dimensional ideal; $S$-packing colorings; Shape's lemma

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