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In this paper we define a metric for reciprocity---the degree of balance in a social relationship---appropriate for weighted social networks in order to investigate the distribution of this dyadic feature in a large-scale system built from…

Social and Information Networks · Computer Science 2011-09-13 Cheng Wang , Anthony Strathman , Omar Lizardo , David Hachen , Zoltan Toroczkai , Nitesh V. Chawla

Complex network theory has shown success in understanding the emergent and collective behavior of complex systems [1]. Many real-world complex systems were recently discovered to be more accurately modeled as multiplex networks [2-6]---in…

Physics and Society · Physics 2021-06-14 Vito M. Leli , Saeed Osat , Timur Tlyachev , Dmitry V. Dylov , Jacob D. Biamonte

This work presents a model that allows the study of research specialties through the manifestations of the specialty's social and epistemological processes in a collection of journal papers. Collections of papers are modeled as coupled…

Physics and Society · Physics 2007-05-23 Steven. A. Morris , Gary G. Yen

The paradigm of layered networks is used to describe many real-world systems -- from biological networks, to social organizations and transportation systems. Recently there has been much progress in understanding the general properties of…

Physics and Society · Physics 2016-10-05 Márton Pósfai , Jianxi Gao , Sean P. Cornelius , Albert-László Barabási , Raissa M. D'Souza

Clustering and closure coefficients are among the most widely applied indicators in the description of the topological structure of a network. Many distinct definitions have been proposed over time, particularly in the case of weighted…

Physics and Society · Physics 2022-12-26 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

Bidimensional materials are ideally viewed as having no thickness, as their name suggests. Their optical response have been previously modelled by a purely bidimensional surface current or by a very thin film with some contradictory…

Optics · Physics 2023-01-31 Bruno Majérus , Luc Henrard , Pascal Kockaert

Spatially embedded networks are shaped by a combination of purely topological (space-independent) and space-dependent formation rules. While it is quite easy to artificially generate networks where the relative importance of these two…

Physics and Society · Physics 2013-09-10 Franco Ruzzenenti , Francesco Picciolo , Riccardo Basosi , Diego Garlaschelli

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

Physics and Society · Physics 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

While consolidation strategies form the backbone of many supply chain optimisation problems, exploitation of multi-tier material relationships through consolidation remains an understudied area, despite being a prominent feature of…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 Vinod Kumar Chauhan , Muhannad Alomari , James Arney , Ajith Kumar Parlikad , Alexandra Brintrup

The study of triangles in graphs is a standard tool in network analysis, leading to measures such as the \emph{transitivity}, i.e., the fraction of paths of length $2$ that participate in triangles. Real-world networks are often directed,…

Social and Information Networks · Computer Science 2014-04-25 C. Seshadhri , Ali Pinar , Nurcan Durak , Tamara G. Kolda

We propose a modeling framework for growing multiplexes where a node can belong to different networks. We define new measures for multiplexes and we identify a number of relevant ingredients for modeling their evolution such as the coupling…

Physics and Society · Physics 2013-08-01 Vincenzo Nicosia , Ginestra Bianconi , Vito Latora , Marc Barthelemy

In multiplex networks with a large number of layers, the nodes can have different activities, indicating the total number of layers in which the nodes are present. Here we model multiplex networks with heterogeneous activity of the nodes…

Physics and Society · Physics 2016-03-15 Davide Cellai , Ginestra Bianconi

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

The World Trade Web (WTW) is the network of international trade relationships among world countries. Characterizing both the local link weights (observed trade volumes) and the global network structure (large-scale topology) of the WTW via…

Physics and Society · Physics 2022-12-23 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

Network motifs can capture basic interaction patterns and inform the functional properties of networks. However, real-world complex systems often have multiple types of relationships, which cannot be represented by a monolayer network. The…

Physics and Society · Physics 2019-03-06 Lu Zhong , Qingpeng Zhang , Dong Yang , Guanrong Chen , Shi Yu

A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order…

Physics and Society · Physics 2024-09-10 Quintino Francesco Lotito , Alberto Montresor , Federico Battiston

We introduce a framework to intertwine dynamical processes of different nature, each with its own distinct network topology, using a multilayer network approach. As an example of collective phenomena emerging from the interactions of…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Vincenzo Nicosia , Per Sebastian Skardal , Alex Arenas , Vito Latora

Many real complex systems cannot be represented by a single network, but due to multiple sub-systems and types of interactions, must be represented as a multiplex network. This is a set of nodes which exist in several layers, with each…

Disordered Systems and Neural Networks · Physics 2016-12-16 G. J. Baxter , D. Cellai , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

We consider the reciprocity of the information-theoretic channel of Time Division Duplex (TDD) Multi-User-Multiple Input Multiple Output (MU-MIMO) systems in the up- and downlink. Specifically, we assume that the transmit and receive chains…

Information Theory · Computer Science 2020-11-13 Tobias Laas , Josef A. Nossek , Samer Bazzi , Wen Xu