dc.creator | Díaz Pernil, Daniel | |
dc.creator | Christinal, Hepzibah A. | |
dc.creator | Gutiérrez Naranjo, Miguel Ángel | |
dc.creator | Real Jurado, Pedro | |
dc.date.accessioned | 2015-12-23T11:48:07Z | |
dc.date.available | 2015-12-23T11:48:07Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | http://hdl.handle.net/11441/32179 | |
dc.description.abstract | Effective Homology is an algebraic-topological method based on the computational concept of chain homotopy equivalence on a cell complex. Using this algebraic data structure, Effective Homology gives answers to some important computability problems in Algebraic Topology. In a discrete context, Effective Homology can be seen as a combinatorial layer given by a forest graph structure spanning every cell of the complex. In this paper, by taking as input a pixel-based 2D binary object, we present a logarithmic-time uniform solution for describing a chain homotopy operator ϕ for its adjacency graph. This solution is based on Membrane Computing techniques applied to the spanning forest problem and it can be easily extended to higher dimensions. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Applicable Algebra in Engineering, Communication and Computing, 23 (5), 233-249. | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Tissue-like P systems | es |
dc.subject | Membrane Computing | es |
dc.subject | Effective Homology | es |
dc.subject | Computational Algebraic Topology | es |
dc.subject | Digital Topology | es |
dc.title | Using membrane computing for effective homology | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial | |
dc.identifier.doi | http://dx.doi.org/10.1007/s00200-012-0176-6 | es |
dc.contributor.group | Universidad de Sevilla. FQM296: Topología Computacional y Matemática Aplicada | |
dc.contributor.group | Universidad de Sevilla. TIC193: Computación Natural | |
dc.journaltitle | Applicable Algebra in Engineering, Communication and Computing | es |
dc.publication.volumen | 23 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 233 | es |
dc.publication.endPage | 249 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/32179 | |