Few distinct distances implies no heavy lines or circles
We study the structure of planar point sets that determine a small number of distinct distances. Specifically, we show that if a set PP of n points determines o(n) distinct distances, then no line contains Ω(n[superscript 7/8]) points of PP and no circle contains Ω(n[superscript 5/6]) points of...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/106218 https://orcid.org/0000-0001-5129-8300 |