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Our work is motivated by and illustrated with application of association networks in computational biology, specifically in the context of gene/protein regulatory networks. Association networks represent systems of interacting elements,…

Applications · Statistics 2012-05-01 Natallia Katenka , Eric D. Kolaczyk

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

In network science, assortativity refers to the tendency of links to exist between nodes with similar attributes. In social networks, for example, links tend to exist between individuals of similar age, nationality, location, race, income,…

Social and Information Networks · Computer Science 2014-07-21 Xin Liu , Tsuyoshi Murata , Ken Wakita

Community structure is largely regarded as an intrinsic property of complex real-world networks. However, recent studies reveal that networks comprise even more sophisticated modules than classical cohesive communities. More precisely,…

Physics and Society · Physics 2011-10-13 Lovro Šubelj , Marko Bajec

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

We investigate the increasingly prominent task of jointly inferring multiple networks from nodal observations. While most joint inference methods assume that observations are available at all nodes, we consider the realistic and more…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

Uncovering higher-order spatiotemporal dependencies within human mobility networks offers valuable insights into the analysis of urban structures. In most existing studies, human mobility networks are typically constructed by aggregating…

Social and Information Networks · Computer Science 2024-05-08 Shuyang Shi , Ding Lyu , Lin Wang , Xiaofan Wang , Guanrong Chen

Complex networks are usually characterized in terms of their topological, spatial, or information-theoretic properties and combinations of the associated metrics are used to discriminate networks into different classes or categories.…

Data Analysis, Statistics and Probability · Physics 2017-10-25 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

We present the pattern underlying some of the properties of natural numbers, using the framework of complex networks. The network used is a divisibility network in which each node has a fixed identity as one of the natural numbers and the…

General Mathematics · Mathematics 2020-07-03 Abiya Rajans , G. Ambika

We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been…

Social and Information Networks · Computer Science 2019-04-24 George T. Cantwell , M. E. J. Newman

Numerous centrality measures have been proposed to evaluate the importance of nodes in networks, yet comparative analyses of these measures remain limited. Based on 80 real-world networks, we conducted an empirical analysis of 16…

Other Statistics · Statistics 2025-08-14 Yilin Bi , Xinshan Jiao , Tao Zhou

With a core-periphery structure of networks, core nodes are densely interconnected, peripheral nodes are connected to core nodes to different extents, and peripheral nodes are sparsely interconnected. Core-periphery structure composed of a…

Physics and Society · Physics 2017-11-23 Sadamori Kojaku , Naoki Masuda

The most widely used techniques for community detection in networks, including methods based on modularity, statistical inference, and information theoretic arguments, all work by optimizing objective functions that measure the quality of…

Social and Information Networks · Computer Science 2020-05-13 Maria A. Riolo , M. E. J. Newman

Networks are pervasive in the real world. Nature, society, economy, and technology are supported by ostensibly different networks that in fact share an amazing number of interesting structural properties. Network thinking exploded in the…

Logic in Computer Science · Computer Science 2010-03-19 Massimo Franceschet

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

Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on discrete Morse theory to study topological properties of unweighted and…

Discrete Mathematics · Computer Science 2019-10-01 Harish Kannan , Emil Saucan , Indrava Roy , Areejit Samal

Recent studies uncovered important core/periphery network structures characterizing complex sets of cooperative and competitive interactions between network nodes, be they proteins, cells, species or humans. Better characterization of the…

Physics and Society · Physics 2013-12-03 Peter Csermely , Andras London , Ling-Yun Wu , Brian Uzzi

A number of network structural characteristics have recently been the subject of particularly intense research, including degree distributions, community structure, and various measures of vertex centrality, to mention only a few. Vertices…

Social and Information Networks · Computer Science 2016-03-23 Igor Trpevski , Tamara Dimitrova , Tommy Boshkovski , Ljupco Kocarev