Fri, 11/30/2012 - 11:59 — manu

Title | Using Membrane Computing for Effective Homology |

Publication Type | Journal Papers |

Year of Publication | 2012 |

Authors | Christinal, H. A., Díaz-Pernil D., Gutiérrez-Naranjo M. A., & Real P. |

Journal Title | Applicable Algebra in Engineering, Communication and Computing |

Publisher | Springer Verlag |

Place Published | Berlin, Germany |

Volume | 23 |

Pages | 233-249 |

Date Published | 12/2012 |

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. |

Keywords | Computational Algebraic Topology, Digital Topology, Effective Homology, Membrane computing, Tissue-like P systems |

URL | http://link.springer.com/article/10.1007%2Fs00200-012-0176-6 |

Issue | 5-6 |

Impact Factor | 0.756 |

Ranking | 120/247 - Q2 |

ISSN Number | 0938-1279 |

DOI | 10.1007/s00200-012-0176-6 |