基于社区结构的复杂网络双曲映射
首发时间:2015-04-17
摘要:网络隐藏的双曲几何为复杂网络研究提供了一个新的视角。如何将网络映射至双曲空间是网络双曲几何研究的重要问题。现有的双曲映射算法由于速度太慢,很难应用于大型网络。为此,本文提出Hyperbolic mapping based on Community (HCM)映射模型。HCM模型首先用社区结构对网络映射进行初始化映射,以保证映射精度,然后利用节点局部路径信息以降低映射计算时间。本文通过实验验证了HCM模型的映射精度,发现与已有映射方法相比,HCM在精度相近的情况下,算法时间复杂度由 下降为 。
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Hyperbolic Mapping of complex network based on community structure
Abstract:The hidden hyperbolic geometry provides a new perspective for complex network. It is an important problem that how to map networks to its' hyperbolic geometry. It is hard to apply the existing mapping models to large scale networks because of the high time complexity. To solve this problem, this paper present the mapping model: Hyperbolic mapping based on Community (HMC). HCM uses community structure to initialize the mapping coordinates of nodes, then utilizes the local path information of nodes to reduce it's time complexity. This paper validates the precision of HCM and finds that, comparing the existing mapping models with time complexity , HCM with has approximate precision.
Keywords: complex network hyperbolic mapping community structure
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No.4638319105054914****
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