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The notion of complex-valued information entropy measure is presented. It applies in particular to directed networks (digraphs). The corresponding statistical physics notions are outlined. The studied network, serving as a case study, in…

Statistical Mechanics · Physics 2014-01-16 Giulia Rotundo , Marcel Ausloos

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

Machine Learning · Statistics 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

Many complex systems present an intrinsic bipartite nature and are often described and modeled in terms of networks [1-5]. Examples include movies and actors [1, 2, 4], authors and scientific papers [6-9], email accounts and emails [10],…

Physics and Society · Physics 2014-03-31 Michele Tumminello , Salvatore Miccichè , Fabrizio Lillo , Jyrki Piilo , Rosario N. Mantegna

Much of the past work in network analysis has focused on analyzing discrete graphs, where binary edges represent the "presence" or "absence" of a relationship. Since traditional network measures (e.g., betweenness centrality) utilize a…

Social and Information Networks · Computer Science 2011-04-05 Joseph J. Pfeiffer , Jennifer Neville

We propose a new method for assessing agents influence in network structures, which takes into consideration nodes attributes, individual and group influences of nodes, and the intensity of interactions. This approach helps us to identify…

Social and Information Networks · Computer Science 2016-10-20 F. Aleskerov , N. Meshcheryakova , S. Shvydun

The interactions among the elementary components of many complex systems can be qualitatively different. Such systems are therefore naturally described in terms of multiplex or multi-layer networks, i.e. networks where each layer stands for…

Physics and Society · Physics 2015-09-15 Vincenzo Nicosia , Vito Latora

Ecological networks are often composed of different sub-communities (often referred to as modules). Identifying such modules has the potential to develop a better understanding of the assembly of ecological communities and to investigate…

Quantitative Methods · Quantitative Biology 2014-03-14 Carsten F. Dormann , Rouven Strauss

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

Physics and Society · Physics 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

In recent years, social media has become a ubiquitous and integral part of social networking. One of the major attentions made by social researchers is the tendency of like-minded people to interact with one another in social groups, a…

Social and Information Networks · Computer Science 2020-08-25 Kazi Zainab Khanam , Gautam Srivastava , Vijay Mago

Network models are used to study interconnected systems across many physical, biological, and social disciplines. Such models often assume a particular network-generating mechanism, which when fit to data produces estimates of…

Social and Information Networks · Computer Science 2022-01-17 Ryan E. Langendorf , Matthew G. Burgess

We explore a new mechanism to explain polarization phenomena in opinion dynamics in which agents evaluate alternative views on the basis of the social feedback obtained on expressing them. High support of the favored opinion in the social…

Physics and Society · Physics 2018-10-22 Sven Banisch , Eckehard Olbrich

Whole-brain network analyses remain the vanguard in neuroimaging research, coming to prominence within the last decade. Network science approaches have facilitated these analyses and allowed examining the brain as an integrated system.…

Applications · Statistics 2015-05-04 Sean L. Simpson , Paul J. Laurienti

Many social, technological and biological interactions involve network relationships whose outcome intimately depends on the structure of the network and on the strengths of the connections. Yet, although much information is now available…

Statistical Mechanics · Physics 2009-11-10 Guido Caldarelli , Fabrizio Coccetti , Paolo De Los Rios

We introduce a quantitative method to compare arbitrary pairs of graph centrality measures, based on the ordering of vertices induced by them. The proposed method is conceptually simple, mathematically elegant, and allows for a quantitative…

Social and Information Networks · Computer Science 2026-01-26 G. Exarchakos , R. van der Hofstad , O. Nagy , M. Pandey

Nestedness characterizes the linkage pattern of networked systems, indicating the likelihood that a node is linked to the nodes linked to the nodes with larger degrees than it. Networks of mutualistic relationship between distinct groups of…

Physics and Society · Physics 2012-03-13 Deok-Sun Lee , Seong Eun Maeng , Jae Woo Lee

The connectivity structure of graphs is typically related to the attributes of the nodes. In social networks for example, the probability of a friendship between two people depends on their attributes, such as their age, address, and…

Social and Information Networks · Computer Science 2020-02-06 Junning Deng , Bo Kang , Jefrey Lijffijt , Tijl De Bie

We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents' opinions are fixed, they…

Physics and Society · Physics 2022-02-01 Xiang Li , Mauro Mobilia , Alastair M. Rucklidge , R. K. P. Zia

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

Identifying important actors (or nodes) in a two-mode network often remains a crucial challenge in mining, analyzing, and interpreting real-world networks. While traditional bipartite centrality indices are often used to recognize key nodes…

Social and Information Networks · Computer Science 2022-12-21 Mohamed-Hamza Ibrahim , Rokia Missaoui , Jean Vaillancourt

All online sharing systems gather data that reflects users' collective behaviour and their shared activities. This data can be used to extract different kinds of relationships, which can be grouped into layers, and which are basic…

Social and Information Networks · Computer Science 2013-03-04 Przemyslaw Kazienko , Katarzyna Musial , Tomasz Kajdanowicz
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