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Weighted heterogeneous networks with the same weight sequence

Generally, the topological property has a profound influence on various dynamical process occurring on networks. However, whether the topological property can characterize the dynamic process of networks separately or jointly is still unknown. The problem needs to be verified based on some special networks with the same topological property. Aiming at the requirement, a class of weighted heterogeneous networks with the same weight sequence are proposed. We solve the main structural characteristics of our networks. We hope that the networks presented in this paper could help us study the influence of weight distribution on network dynamics.