Abstract:The network community hierarchies are defined by heterogeneous of different scales of link density in essence, it is necessary for network community to detect the dynamically changing information during hierarchies division. In view of this, a method of extraction of network community hierarchies based on spectrum top-segmentation is proposed. Firstly, the spectrum top-segmentation is defined as a dichotomy of subnetwork that no any top-level community can cross two parts, and an expected division top-level segmentation is presented. Then, the queue and link-density are introduced to decompose network, and an algorithm of network community levels extraction is presented. The simulation result shows that the performance of proposed method is better than that of synchronization and multi-scale in stochastic hierarchical networks, and the method is applicated in Email real-world network effectively.