On the Size of Dissociated Bases
نویسندگان
چکیده
We prove that the sizes of the maximal dissociated subsets of a given finite subset of an abelian group differ by a logarithmic factor at most. On the other hand, we show that the set {0, 1}n ⊆ Zn possesses a dissociated subset of size Ω(n log n); since the standard basis of Zn is a maximal dissociated subset of {0, 1}n of size n, the result just mentioned is essentially sharp.
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 18 شماره
صفحات -
تاریخ انتشار 2011