Harmonic Conjugation in Harmonic Matroids
| Autor: | Rigoberto Flórez |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Projective plane
Projective harmonic conjugate Computer Science::Computer Science and Game Theory Reid cycle matroid Fano plane Theoretical Computer Science Combinatorics Mobius harmonic nets Harmonic matroid Computer Science::Discrete Mathematics Duality (projective geometry) FOS: Mathematics Discrete Mathematics and Combinatorics Projective space Mathematics - Combinatorics Computer Science::Data Structures and Algorithms Pencil (mathematics) Mathematics Projective geometry Discrete mathematics Mathematics::Combinatorics Graphic matroid Combinatorics (math.CO) Algebraic matroid Harmonic conjugation |
| Popis: | We study a generalization of the concept of harmonic conjugation from projective geometry and full algebraic matroids to a larger class of matroids called \emph{harmonic matroids}. We use harmonic conjugation to construct a projective plane of prime order in harmonic matroids without using the axioms of projective geometry. As a particular case we have a combinatorial construction of a projective plane of prime order in full algebraic matroids. This paper was finished in 2008. It is now published |
| Databáze: | OpenAIRE |
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