Research on Network of Networks Theory

Firstly, shortcomings of existing researches about interdependence networks are analyzed in this paper, and then theory of network of networks is proposed. In this theory, related concepts of network of networks are given and three pattern representation: collection, graphics and matrix. Three kind of dependency relationship are introduced. Dependency edges consist of domain-dependent edges and function-element edges. In the sight of level of network and node, static parameters of network of networks are put forward. Finally, two dynamical models that include edge-weight evolution and transmission have been raised. The theory which presents in this paper can lay the foundation for converged network percolation phenomenon research.