Banisch, Ralf and Djurdjevac, N.
(2015)
*Cycle-flow–based module detection in directed recurrence networks.*
EPL (Europhysics Letters) , 108
(6).
ISSN 0295-5075

Full text not available from this repository.

Official URL: http://iopscience.iop.org/0295-5075/108/6/68008

## Abstract

We present a new cycle-flow–based method for finding fuzzy partitions of weighted directed networks coming from time series data. We show that this method overcomes essential problems of most existing clustering approaches, which tend to ignore important directional information by considering only one-step, one-directional node connections. Our method introduces a novel measure of communication between nodes using multi-step, bidirectional transitions encoded by a cycle decomposition of the probability flow. Symmetric properties of this measure enable us to construct an undirected graph that captures the information flow of the original graph seen by the data and apply clustering methods designed for undirected graphs. Finally, we demonstrate our algorithm by analyzing earthquake time series data, which naturally induce (time-)directed networks.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics Department of Mathematics and Computer Science > Institute of Mathematics > Cellular Mechanics Group Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group |

ID Code: | 1513 |

Deposited By: | Admin Administrator |

Deposited On: | 24 Feb 2015 21:33 |

Last Modified: | 17 Mar 2016 10:53 |

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