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Deviations from the average can provide valuable insights about the organization of natural systems. This article extends this important principle to the more systematic identification and analysis of singular local connectivity patterns in…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Luciano da F. Costa , Marcus Kaiser , Claus Hilgetag

We study the inequality of citations received for different publications of various researchers and Nobel laureates in Physics, Chemistry, Medicine and Economics using Google Scholar data from 2012 to 2024. Citation distributions are found…

Physics and Society · Physics 2025-05-02 Soumyajyoti Biswas , Bikas K. Chakrabarti , Asim Ghosh , Sourav Ghosh , Máté Józsa , Zoltán Néda

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

Sampling from large networks represents a fundamental challenge for social network research. In this paper, we explore the sensitivity of different sampling techniques (node sampling, edge sampling, random walk sampling, and snowball…

Social and Information Networks · Computer Science 2017-02-20 Claudia Wagner , Philipp Singer , Fariba Karimi , Jürgen Pfeffer , Markus Strohmaier

1. The birth of network science. 2. What are random networks? 3. Adjacency matrix. 4. Degree distribution. 5. What are simple networks? Classical random graphs. 6. Birth of the giant component. 7. Topology of the Web. 8.Uncorrelated…

Statistical Mechanics · Physics 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes

We examine the global organization of heterogeneous equilibrium networks consisting of a number of well distinguished interconnected parts--``communities'' or modules. We develop an analytical approach allowing us to obtain the statistics…

Statistical Mechanics · Physics 2009-11-13 S. N. Dorogovtsev , J. F. F. Mendes , A. N. Samukhin , A. Y. Zyuzin

Complex networks can be used to represent complex systems which originate in the real world. Here we study a transformation of these complex networks into simplicial complexes, where cliques represent the simplices of the complex. We extend…

Social and Information Networks · Computer Science 2017-09-04 Ernesto Estrada , Grant Ross

Networks have become the de facto diagram of the Big Data age (try searching Google Images for [big data AND visualisation] and see). The concept of networks has become central to many fields of human inquiry and is said to revolutionise…

Social and Information Networks · Computer Science 2018-06-22 Liliana Bounegru , Tommaso Venturini , Jonathan Gray , Mathieu Jacomy

We provide a general framework for analyzing degree correlations between nodes separated by more than one step (i.e., beyond nearest neighbors) in complex networks. One probability and four conditional probabilities are introduced to fully…

Physics and Society · Physics 2018-06-20 Yuka Fujiki , Taro Takaguchi , Kousuke Yakubo

This paper is an extensive survey of literature on complex network communities and clustering. Complex networks describe a widespread variety of systems in nature and society especially systems composed by a large number of highly…

Social and Information Networks · Computer Science 2015-03-24 Biswajit Saha , Amitabha Mandal , Soumendu Bikas Tripathy , Debaprasad Mukherjee

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

This paper presents proof that Google Scholar (GS) can construct documentary sets relevant for evaluating researchers' works. Nobelists in economics were the researchers under analysis, and two types of tests of the GS cites to their works…

Digital Libraries · Computer Science 2014-11-05 Stephen J. Bensman , Alice Daugherty , Lawrence J. Smolinsky , Daniel S. Sage , J. Sylvan Katz

Networks play a prominent role in the study of complex systems of interacting entities in biology, sociology, and economics. Despite this diversity, we demonstrate here that a statistical model decomposing networks into matching and…

Physics and Society · Physics 2016-02-05 Rudolf P. Rohr , Russel E. Naisbit , Christian Mazza , Louix-Félix Bersier

Network topology is a fundamental aspect of network science that allows us to gather insights into the complicated relational architectures of the world we inhabit. We provide a first specific study of neighbourhood degree sequences in…

Social and Information Networks · Computer Science 2019-06-11 Keith M. Smith

Link prediction in complex networks has attracted considerable attention from interdisciplinary research communities, due to its ubiquitous applications in biological networks, social networks, transportation networks, telecommunication…

Social and Information Networks · Computer Science 2020-12-22 Ece C. Mutlu , Toktam A. Oghaz , Amirarsalan Rajabi , Ivan Garibay

For decades, researchers in information visualisation and graph drawing have focused on developing techniques for the layout and display of very large and complex networks. Experiments involving human participants have also explored the…

Human-Computer Interaction · Computer Science 2018-09-05 Vahan Yoghourdjian , Daniel Archambault , Stephan Diehl , Tim Dwyer , Karsten Klein , Helen C. Purchase , Hsiang-Yun Wu

Networks have attracted a burst of attention in the last decade, with applications to natural, social, and technological systems. While networks provide a powerful abstraction for investigating relationships and interactions, the…

Physics and Society · Physics 2010-04-09 Michael J. Barber , Manfred Paier , Thomas Scherngell

One explanation for the impressive recent boom in network theory might be that it provides a promising tool for an understanding of complex systems. Network theory is mainly focusing on discrete large-scale topological structures rather…

Statistical Mechanics · Physics 2015-06-25 Stefan Thurner

Deviations from the average can provide valuable insights about the organization of natural systems. The present article extends this important principle to the systematic identification and analysis of singular motifs in complex networks.…

Physics and Society · Physics 2010-03-17 Luciano da Fontoura Costa , Francisco Rodrigues , Claus C. Hilgetag , Marcus Kaiser

In this chapter, we provide an overview of recent advances in data-driven and theory-informed complex models of social networks and their potential in understanding societal inequalities and marginalization. We focus on inequalities arising…

Physics and Society · Physics 2022-06-16 Fariba Karimi , Marcos Oliveira , Markus Strohmaier