Repositorio de producción científica de la Universidad de Sevilla

Using membrane computing for effective homology


Advanced Search
Opened Access Using membrane computing for effective homology

Show item statistics
Export to
Author: Díaz Pernil, Daniel
Christinal, Hepzibah A.
Gutiérrez Naranjo, Miguel Ángel
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial
Date: 2012
Published in: Applicable Algebra in Engineering, Communication and Computing, 23 (5), 233-249.
Document type: Article
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.
Size: 1.213Mb
Format: PDF



This work is under a Creative Commons License: 
Atribución-NoComercial-CompartirIgual 4.0 Internacional

This item appears in the following Collection(s)