Mathematics – Combinatorics
Scientific paper
2007-11-10
Mathematics
Combinatorics
12 pages
Scientific paper
A subset U of a group G is called k-universal if U contains a translate of
every k-element subset of G. We give several nearly optimal constructions of
small k-universal sets, and use them to resolve an old question of Erdos and
Newman on bases for sets of integers, and to obtain several extensions for
other groups.
Alon Noga
Bukh Boris
Sudakov Benny
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