A coloring of the square of the 8-cube with 13 colors
نویسندگان
چکیده
Let χ k̄ (n) be the number of colors required to color the n-dimensional hypercube such that no two vertices with the same color are at a distance at most k. In other words, χ k̄ (n) is the minimum number of binary codes with minimum distance at least k+1 required to partition the n-dimensional Hamming space. By giving an explicit coloring, it is shown that χ2̄(8) = 13.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1509.06913 شماره
صفحات -
تاریخ انتشار 2015