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Within network data analysis, bipartite networks represent a particular type of network where relationships occur between two disjoint sets of nodes, formally called sending and receiving nodes. In this context, sending nodes may be…

Methodology · Statistics 2024-03-19 Dalila Failli , Bruno Arpino , Maria Francesca Marino

The roles of different nodes within a network are often understood through centrality analysis, which aims to quantify the capacity of a node to influence, or be influenced by, other nodes via its connection topology. Many different…

Social and Information Networks · Computer Science 2020-07-01 Stuart Oldham , Ben Fulcher , Linden Parkes , Aurina Arnatkeviciute , Chao Suo , Alex Fornito

Most real-world complex systems can be modelled by coupled networks with multiple layers. How and to what extent the pattern of couplings between network layers may influence the interlaced structure and function of coupled networks are not…

Data Analysis, Statistics and Probability · Physics 2010-10-26 Won-kuk Cho , K. -I. Goh , I. -M. Kim

How does social network structure amplify or stifle behavior diffusion? Existing theory suggests that when social reinforcement makes the adoption of behavior more likely, it should spread more -- both farther and faster -- on clustered…

Social and Information Networks · Computer Science 2025-07-11 Allison Wan , Christoph Riedl , David Lazer

Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by…

Dynamical Systems · Mathematics 2023-08-11 Sören von der Gracht , Eddie Nijholt , Bob Rink

The problem of clustering large complex networks plays a key role in several scientific fields ranging from Biology to Sociology and Computer Science. Many approaches to clustering complex networks are based on the idea of maximizing a…

Social and Information Networks · Computer Science 2013-10-17 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

We discuss two well known network measures: the overlap weight of an edge and the clustering coefficient of a node. For both of them it turns out that they are not very useful for data analytic task to identify important elements (nodes or…

Social and Information Networks · Computer Science 2020-02-06 Vladimir Batagelj

Investigation of divisibility properties of natural numbers is one of the most important themes in the theory of numbers. Various tools have been developed over the centuries to discover and study the various patterns in the sequence of…

Social and Information Networks · Computer Science 2015-12-03 Snehal M. Shekatkar , Chandrasheel Bhagwat , G. Ambika

Performing analytic of household load curves (LCs) has significant value in predicting individual electricity consumption patterns, and hence facilitate developing demand-response strategy, and finally achieve energy efficiency improvement…

Data Structures and Algorithms · Computer Science 2018-11-27 Yunyou Huang , Jianfeng Zhan , Nana Wang , Chunjie Luo , Lei Wang , Rui Ren

Robustness of network of networks (NON) has been studied only for dependency coupling (J.X. Gao et. al., Nature Physics, 2012) and only for connectivity coupling (E.A. Leicht and R.M. D Souza, arxiv:0907.0894). The case of network of n…

Physics and Society · Physics 2013-10-22 Gaogao Dong , Lixin Tian , Ruijin Du , H. Eugene Stanley

Percolation theory is extensively studied in statistical physics and mathematics with applications in diverse fields. However, the research is focused on systems with only one type of links, connectivity links. We review a recently…

Statistical Mechanics · Physics 2015-05-28 Amir Bashan , Shlomo Havlin

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

In many cases of attacks or failures, memory effects play a significant role. Therefore, we present a model that not only considers the dependencies between nodes but also incorporates the memory effects of attacks. Our research…

Physics and Society · Physics 2023-06-21 Yanpeng Zhu , Lei Chen , Fanyuan Meng , Chun-Xiao Jia , Run-Ran Liu

The rapid advancement of technology underscores the critical importance of robustness in complex network systems. This paper presents a framework for investigating the structural robustness of interconnected network models. This paper…

Physics and Society · Physics 2023-11-01 Dong Gaogao , Sun Nannan , Wang Fan

Current network models assume one type of links to define the relations between the network entities. However, many real networks can only be correctly described using two different types of relations. Connectivity links that enable the…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

The formation of triangles in complex networks is an important network property that has received tremendous attention. The formation of triangles is often studied through the clustering coefficient. The closure coefficient or transitivity…

Physics and Society · Physics 2020-06-11 Clara Stegehuis

The stochastic block model is a classical cluster-exhibiting random graph model that has been widely studied in statistics, physics and computer science. In its simplest form, the model is a random graph with two equal-sized clusters, with…

Probability · Mathematics 2014-07-04 Varun Kanade , Elchanan Mossel , Tselil Schramm

In this letter, we consider the effect of clustering coefficient on the synchronizability of coupled oscillators located on scale-free networks. The analytic result for the value of clustering coefficient aiming at a highly clustered…

Statistical Mechanics · Physics 2009-11-11 Xiang Wu , Bing-Hong Wang , Tao Zhou , Wen-Xu Wang , Ming Zhao , Hui-jie Yang

The behavior of complex networks under attack depends strongly on the specific attack scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure or attack but appear to be especially…

Physics and Society · Physics 2009-04-03 C. von Ferber , T. Holovatch , Yu. Holovatch

The behaviour and functioning of a variety of complex physical and biological systems depend on the spatial organisation of their constituent units, and on the presence and formation of clusters of functionally similar or related…

Physics and Society · Physics 2023-08-16 Silvia Rognone , Vincenzo Nicosia