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On the Degree Distribution of Haros Graphs
Cita
Calero Sanz, Jorge 
ORCID: https://orcid.org/0000-0002-8701-6253
(2023).
On the Degree Distribution of Haros Graphs.
"Mathematics", v. 11
(n. 1-92);
ISSN 2227-7390.
https://doi.org/10.3390/math11010092.
ORCID: https://orcid.org/0000-0002-8701-6253
(2023).
On the Degree Distribution of Haros Graphs.
"Mathematics", v. 11
(n. 1-92);
ISSN 2227-7390.
https://doi.org/10.3390/math11010092.
Descripción
| Título: | On the Degree Distribution of Haros Graphs |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Mathematics |
| Fecha: | 1 Enero 2023 |
| ISSN: | 2227-7390 |
| Volumen: | 11 |
| Número: | 1-92 |
| Materias: | |
| Palabras Clave Informales: | complex networks; continued fraction; degree distribution; Complex Networks; continued fraction; Degree distribution; Graph Theory |
| Escuela: | E.T.S.I. Montes, Forestal y del Medio Natural (UPM) |
| Departamento: | Matemática Aplicada |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada |
Resumen
Haros graphs are a graph-theoretical representation of real numbers in the unit interval. The degree distribution of the Haros graphs provides information regarding the topological structure and the associated real number. This article provides a comprehensive demonstration of a conjecture concerning the analytical formulation of the degree distribution. Specifically, a theorem outlines the relationship between Haros graphs, the corresponding continued fraction of its associated real number, and the subsequent symbolic paths in the Farey binary tree. Moreover, an expression that is continuous and piecewise linear in subintervals defined by Farey fractions can be derived from an additional conclusion for the degree distribution of Haros graphs.
Más información
| ID de Registro: | 86018 |
|---|---|
| Identificador DC: | https://oa.upm.es/86018/ |
| Identificador OAI: | oai:oa.upm.es:86018 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/9985318 |
| Identificador DOI: | 10.3390/math11010092 |
| URL Oficial: | https://www.mdpi.com/search?journal=mathematics&vo... |
| Depositado por: | Portal Científico UPM |
| Depositado el: | 15 Ene 2025 09:18 |
| Ultima Modificación: | 15 Ene 2025 09:18 |
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