Parabolic tournaments, locally transitive tournaments and the Ricci curvature for parabolic tournaments
DOI:
https://doi.org/10.5377/ryr.v51i0.9858Keywords:
Directed graphs, tournaments, Ricci curvature, parabolic tournaments, locally transitive tournamentsAbstract
Tournaments are a type of directed graphs which have been used to study the geometry of classical flag manifolds, for which the existing relationship between tournaments and almost complex structures on classical flag manifolds is used. The interest to study this type of graphs liesin the possibility of using the combinatorial properties of tournamentsto study geometric properties of the flag manifolds. In this paper we present the basic ideas about the Ricci curvature for tournaments and in particular we study some properties of parabolic tournaments and locally transitive tournaments.
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Instituto de Ciencia, Tecnología e Innovación (ICTI)
Reality and Reflection
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