Next Article in Journal
Modeling Y-Linked Pedigrees through Branching Processes
Previous Article in Journal
Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Boundary Conditions
Open AccessArticle

Divisibility Patterns within Pascal Divisibility Networks

1
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022 València, Spain
2
Departamento de Estadística, Universidad APEC, 10203 Santo Domingo, Dominican Republic 3 Instituto de Tecnología Informática (ITACA), Universitat Politècnica de València, 91354 València, Spain
3
Instituto de Tecnología Informática (ITACA), Universitat Politècnica de València, 91354 València, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 254; https://doi.org/10.3390/math8020254
Received: 31 December 2019 / Revised: 3 February 2020 / Accepted: 7 February 2020 / Published: 14 February 2020
(This article belongs to the Section Network Science)
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.
Keywords: network science; graph theory; divisibility; Pascal matrix network science; graph theory; divisibility; Pascal matrix
MDPI and ACS Style

Solares-Hernández, P.A.; Manzano, F.A.; Pérez-Benito, F.J.; Conejero, J.A. Divisibility Patterns within Pascal Divisibility Networks. Mathematics 2020, 8, 254.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop