Abstract | ||
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Given a finite set of complex numbers A we say that a transformation on the complex numbers, T: C → C is k-rich on A if |A ∩ T(A)|≥ k. In this paper we give a bounds on the number of k-rich linear and Möbius transformations for any given set A. Our results have applications to discrete geometry and to additive combinatorics. |
Year | DOI | Venue |
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2007 | 10.1145/1247069.1247111 | Symposium on Computational Geometry |
Keywords | Field | DocType |
möbius transformation,bius transformation,point-line incidences,discrete geometry,complex number,finite set,k-rich transformation,mobius transformation | Discrete geometry,Discrete mathematics,Combinatorics,Complex number,Finite set,Möbius transformation,Mathematics | Conference |
Citations | PageRank | References |
1 | 0.38 | 4 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
József Solymosi | 1 | 138 | 18.64 |
Gábor Tardos | 2 | 1261 | 140.58 |