On the number of maximum independent sets in Doob graphs
نویسنده
چکیده
The Doob graph D(m,n) is a distance-regular graph with the same parameters as the Hamming graph H(2m+n, 4). The maximum independent sets in the Doob graphs are analogs of the distance-2 MDS codes in the Hamming graphs. We prove that the logarithm of the number of the maximum independent sets in D(m,n) grows as 2(1+o(1)). The main tool for the upper estimation is constructing an injective map from the class of maximum independent sets in D(m,n) to the class of distance-2 MDS codes in H(2m+ n, 4).
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عنوان ژورنال:
- CoRR
دوره abs/1612.00007 شماره
صفحات -
تاریخ انتشار 2016