On an Inverse Problem for Complex Network with Circuit Edges

Abstract

In this paper, we introduce a new approach in reconstruction of the generic complex network based on the system test. Firstly, using this method, we obtain that the state can be expressed by the Green function matrix through the Laplace transform. Next, we study the properties of Green function matrix, and give not only the conditions that the entries of the Green function matrix should have but also the relationship between the Green function matrix and the edge-edge intersection matrix. Finally, we get the Green function matrix of the system using the method of picture mosaic.