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math.CO2025
A formula for the Euler characteristic of a poset through the determinant of the order-complement matrix
Pedro J. Chocano, Luis Felipe Prieto-MartÃnez
Given a finite poset , its zeta matrix encode fundamental incidence-theoretic information about the order structure. In this paper we introduce and study the \emph{o…
math.CO2025
Riordan pattern's quest within simplicial complexes
Pedro J. Chocano, Ana Luzón, Manuel A. Morón +1
The aim of this paper is twofold. First, we demonstrate how Riordan matrices can be employed to connect well-known concepts in geometric combinatorics, such as -vectors, -vec…