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The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of…

离散数学 · 计算机科学 2020-12-08 Marzieh Eidi , Amirhossein Farzam , Wilmer Leal , Areejit Samal , Jürgen Jost

In the past decade, synchronization on complex networks has attracted increasing attentions from various research disciplines. Most previous works, however, focus only on the dynamic behaviors of synchronization process in the stable…

数据分析、统计与概率 · 物理学 2011-10-26 Zhao Zhuo , Shimin Cai , Jie Zhang , Zhongqian Fu

Many of the structural characteristics of a network depend on the connectivity with and within the hubs. These dependencies can be related to the degree of a node and the number of links that a node shares with nodes of higher degree. In…

物理与社会 · 物理学 2018-10-31 Raul J Mondragon

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

社会与信息网络 · 计算机科学 2013-05-03 Chantal Cherifi , Jean-François Santucci

Symmetries in a network connectivity regulate how the graph's functioning organizes into clustered states. Classical methods for tracing the symmetry group of a network require very high computational costs, and therefore they are of hard,…

Community detection and edge prediction are both forms of link mining: they are concerned with discovering the relations between vertices in networks. Some of the vertex similarity measures used in edge prediction are closely related to the…

物理与社会 · 物理学 2015-06-03 Bowen Yan , Steve Gregory

This paper introduces some tools from graph theory and distributed consensus algorithms to construct an optimal, yet robust, hierarchical information sharing structure for large-scale decision making and control problems. The proposed…

系统与控制 · 计算机科学 2012-08-16 Amir Noori

Our interest is in multiplex network data with multiple network samples observed across the same set of nodes. Examples originate from a variety of fields, including brain connectivity, international trade networks, and social networks,…

统计方法学 · 统计学 2026-04-21 Yuren Zhou , Yuqi Gu , David B. Dunson

Link prediction is an open problem in the complex network, which attracts much research interest currently. However, little attention has been paid to the relation between network structure and the performance of prediction methods. In…

社会与信息网络 · 计算机科学 2014-10-28 Xu Feng , Jichang Zhao , Ke Xu

To characterize the dynamical features of seismicity as a complex phenomenon, the seismic data is mapped to a growing random graph, which is a small-world scale-free network. Here, hierarchical and mixing properties of such a network are…

无序系统与神经网络 · 物理学 2009-11-11 Sumiyoshi Abe , Norikazu Suzuki

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

无序系统与神经网络 · 物理学 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

Ensemble clustering has been a popular research topic in data mining and machine learning. Despite its significant progress in recent years, there are still two challenging issues in the current ensemble clustering research. First, most of…

机器学习 · 计算机科学 2018-10-31 Dong Huang , Chang-Dong Wang , Hongxing Peng , Jianhuang Lai , Chee-Keong Kwoh

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

物理与社会 · 物理学 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

The structure of real-world social networks in large part determines the evolution of social phenomena, including opinion formation, diffusion of information and influence, and the spread of disease. Globally, network structure is…

社会与信息网络 · 计算机科学 2015-01-20 Sidharth Gupta , Xiaoran Yan , Kristina Lerman

Identification of communities in complex networks has become an effective means to analysis of complex systems. It has broad applications in diverse areas such as social science, engineering, biology and medicine. Finding communities of…

社会与信息网络 · 计算机科学 2013-09-19 Dongxiao He , Di Jin , Weixiong Zhang

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

物理与社会 · 物理学 2017-09-19 Jürgen Hackl , Bryan T. Adey

We propose and study a hierarchical algorithm to generate graphs having a predetermined distribution of cliques, the fully connected subgraphs. The construction mechanism may be either random or incorporate preferential attachment. We…

物理与社会 · 物理学 2009-11-13 Gregor Kaczor , Claudius Gros

Most of the real world complex networks such as the Internet, World Wide Web and collaboration networks are huge; and to infer their structure and dynamics one requires handling large connectivity (adjacency) matrices. Also, to find out the…

数据分析、统计与概率 · 物理学 2019-05-14 Amit Reza , Richa Tripathi

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

信息检索 · 计算机科学 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

概率论 · 数学 2022-07-19 Ivan Kryven , Rik Versendaal