On the structure of acyclic binary relations
Date
2018
Authors
Rodríguez Alcantud, José Carlos
Candeal, Juan Carlos
Director
Publisher
Springer
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa
Project identifier
- ES/6PN/MTM2012-37894/
- ES/1PE/TIN2013-47605/
- MINECO//ECO2015-65031-R/ES/
- ES/1PE/TIN2016-77356-P/
Impacto
Abstract
We investigate the structure of acyclic binary relations from different points of view. On the one hand, given a nonempty set we study real-valued bivariate maps that satisfy suitable functional equations, in a way that their associated binary relation is acyclic. On the other hand, we consider acyclic directed graphs as well as their representation by means of incidence matrices. Acyclic binary relations can be extended to the asymmetric part of a linear order, so that, in particular, any directed acyclic graph has a topological sorting.
Description
Keywords
Acyclic binary relations, Functional equations, Acyclic directed graphs, Arborescences, Incidence matrices, Total preorders, Numerical representability, Topological sorting algorithms
Department
Matematika / Institute for Advanced Research in Business and Economics - INARBE / Institute for Advanced Materials and Mathematics - INAMAT2 / Matemáticas
Faculty/School
Degree
Doctorate program
item.page.cita
Rodríguez-Alcantud, J. C.; Campión-Arrastia, M. J.; Candeal, J. C.; García-Catalán, R.; Induráin-Eraso, E.. (2018). On the structure of acyclic binary relations. Communications in Computer and Information Science. vol. 855, pp. 3-15.
item.page.rights
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