More distinct distances under local conditions
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چکیده
We establish the following result related to Erdős’s problem on distinct distances. Let V be an n-element planar point set such that any p members of V determine at least ( p 2 ) − p+ 6 distinct distances. Then V determines at least n 8 7 −o(1) distinct distances, as n tends to infinity.
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تاریخ انتشار 2016