Methodology of Network Analysis Using Xtan The Second Geometrization Approach

DOI: 10.5176/2251-1911_CMCGS16.14

Authors: Olivier Maurice, Philippe Durand and Alain Reineix

Abstract: Using previous works on the second geometrization, we can now submit a method to use xTAN formalisme in order to study theoretically networks (xTAN means extended tensorial analysis of networks). A first application consists in the identification of risk in electromagnetic compatibility.But on this example, many others can be developed in various directions including multiphysic ones. We detail the methodology through each of its steps: network graphs, equations, jacobian matrix and Kron's metric, are linked into parametrized surface. and finally tensor like curvature can be calculated.

Keywords: Kron method; submanifold; parametrized surfaces; second geometrization.