Title
On Robust Colorings of Hamming-Distance Graphs.
Abstract
H-q(n, d) is defined as the graph with vertex set Z(q)(n) and where two vertices are adjacent if their Hamming distance is at least d. The chromatic number of these graphs is presented for various sets of parameters (q, n, d). For the 4-colorings of the graphs H-2(n, n - 1) a notion of robustness is introduced. It is based on the tolerance of swapping colors along an edge without destroying properness of the coloring. An explicit description of the maximally robust 4-colorings of H-2(n, n - 1) is presented.
Year
Venue
DocType
2018
ELECTRONIC JOURNAL OF COMBINATORICS
Journal
Volume
Issue
ISSN
25
4
1077-8926
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Isaiah Harney100.34
Heide Gluesing-Luerssen26912.81