负绝对温度下复杂网络的可通性和多部结构
Communicability and multipartite structures in complex networks at negative absolute temperatures
摘要:
我们在这里提出了一种方法,清楚地确定网络中的多部子图。该方法是基于最近推出的概念的可通信性,它非常清楚地识别社区在一个复杂的网络。我们在这里表明,而在一个积极的温度的可通性是有用的社区识别,在一个负的温度的可通性是有用的,在multipartitite子图的可通性;后一个量两个节点之间是积极的,当两个节点属于同一个子图,是负的。该方法能够发现“几乎”多方结构,其中社区间的连接大大超过内部连接。我们说明了这项工作的现实生活中的食物网和蛋白质-蛋白质相互作用网络的相关性。
英文摘要:
We here present a method of clearly identifying multi-partite subgraphs in a network. The method is based on a recently introduced concept of the communicability, which very clearly identifies communities in a complex network. We here show that, while the communicability at a positive temperature is useful in identifying communities, the communicability at a negative temperature is useful in idenfitying multi-partitite subgraphs; the latter quantity between two nodes is positive when the two nodes belong to the same subgraph and is negative when not. The method is able to discover `almost' multi-partite structures, where inter-community connections vastly outweigh intracommunity connections. We illustrate the relevance of this work to real-life food web and protein-protein interaction networks.
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