On sets of points with few odd secants
| Autor: | Bence Csajbók, Simeon Ball |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Combinatorial analysis Applied Mathematics Field (mathematics) Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC] Theoretical Computer Science Combinatorics Set (abstract data type) Computational Theory and Mathematics Line (geometry) FOS: Mathematics Mathematics - Combinatorics Lemma of tangents Combinatorics (math.CO) Projective plane lemma of tangents Constant (mathematics) Anàlisi combinatòria Mathematics |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Recercat. Dipósit de la Recerca de Catalunya instname |
| ISSN: | 1469-2163 0963-5483 |
| DOI: | 10.1017/s0963548319000245 |
| Popis: | We prove that, for $q$ odd, a set of $q+2$ points in the projective plane over the field with $q$ elements has at least $2q-c$ odd secants, where $c$ is a constant and an odd secant is a line incident with an odd number of points of the set. Revised version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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