Harmonic conjugation in harmonic matroids
Copyright policy )Harmonic conjugation in harmonic matroids
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
- University of South Carolina System United States
- University of South Carolina Sumter United States
Projective plane, Reid cycle matroid, Theoretical Computer Science, Mobius harmonic nets, Harmonic matroid, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Combinatorics (math.CO), Algebraic matroid, Harmonic conjugation
Projective plane, Reid cycle matroid, Theoretical Computer Science, Mobius harmonic nets, Harmonic matroid, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Combinatorics (math.CO), Algebraic matroid, Harmonic conjugation
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!