Breaking the 3/2 barrier for unit distances in three dimensions
نویسنده
چکیده
We prove that every set of n points in R3 spans O(n295/197+ε) unit distances. This is an improvement over the previous bound of O(n3/2). A key ingredient in the proof is a new result for cutting circles in R3 into pseudo-segments.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1706.05118 شماره
صفحات -
تاریخ انتشار 2017