Artículos de revistas
Divisibility patterns within Pascal divisibility networks
Fecha
2020-02Registro en:
Solares-Hernández, P., Manzano, F., Pérez-Benito, F. y Conejero, J. (2020). Divisibility patterns within Pascal divisibility networks. Mathematics . 2019, 8(2)
Autor
Solares-Hernández, Pedro A.
Manzano, Fernando A.
Pérez-Benito, Francisco J.
Conejero, J. Alberto
Institución
Resumen
The Pascal triangle is so simple and rich that it has always attracted the interest of
professional and amateur mathematicians. Their coefficients satisfy a myriad of properties. Inspired
by the work of Shekatkar et al., we study the divisibility patterns within the elements of the Pascal
triangle, through its decomposition into Pascal’s matrices, from the perspective of network science.
Applying Kolmogorov–Smirnov test, we determine that the degree distribution of the resulting
network follows a power-law distribution. We also study degrees, global and local clustering
coefficients, stretching graph, averaged path length and the mixing assortative.