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A survey on packing colorings

Boštjan Brešar, Jasmina Ferme, Sandi Klavžar, Douglas F. Rall

2020Discussiones Mathematicae Graph Theory32 citationsDOIOpen Access PDF

Abstract

If S = (a 1 , a 2 , . . .) is a non-decreasing sequence of positive integers, then an S-packing coloring of a graph G is a partition of V (G) into sets X 1 , X 2 , . . . such that for each pair of distinct vertices in the set X i , the distance between them is larger than a i . If there exists an integer k such that

Topics & Concepts

MathematicsCombinatoricsGraph Labeling and Dimension ProblemsAdvanced Graph Theory Researchgraph theory and CDMA systems
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