On the Packing Chromatic Number on Hamming Graphs and General Graphs
نویسندگان
چکیده
The packing chromatic number χρ(G) of a graph G is the smallest integer k needed to proper color the vertices of G in such a way the distance between any two vertices having color i be at least i + 1. We obtain χρ(Hq,m) for m = 3, where Hq,m is the Hamming graph of words of length m and alphabet with q symbols, and tabulate bounds of them for m ≥ 4 up to 10000 vertices. We also give a polynomial reduction from the problem of finding χρ(G) to the Maximum Stable Set problem.
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عنوان ژورنال:
- CoRR
دوره abs/1510.05524 شماره
صفحات -
تاریخ انتشار 2015