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Communication Dans Un Congrès Année : 2016

Methodology of Network Analysis Using Xtan The Second Geometrization Approach

Philippe Durand
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Alain Reineix

Résumé

First tests to use geometry in network analysis was stopped. Due to formulation too much far from the available geometry theory, the Kron's initial equations do not give solution for this objective. \textbf{Second geometrization} encloses Kron's equations in standard differential geometry. As a consequence, it becomes possible to \textbf{study networks} under a general topological approach. We present here how to reach this kind of \textbf{system of equations}. After what we can submit a methodology that can be applied for all kind of problems. Finally we give some first simple examples in order to show how the technique can be used to analyse theoretically networks. In conclusion we speak of future works.
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Dates et versions

hal-01257329 , version 1 (16-01-2016)

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  • HAL Id : hal-01257329 , version 1

Citer

Olivier Maurice, Philippe Durand, Alain Reineix. Methodology of Network Analysis Using Xtan The Second Geometrization Approach. 5th International Conference on Computational Mathematics, Computational Geometry Statistics, Jan 2016, Singapore, Singapore. ⟨hal-01257329⟩
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