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Real-world complex systems exhibit multiple levels of relationships. In many cases, they require to be modeled by interconnected multilayer networks, characterizing interactions on several levels simultaneously. It is of crucial importance…

Physics and Society · Physics 2015-04-24 Manlio De Domenico , Albert Solé-Ribalta , Elisa Omodei , Sergio Gómez , Alex Arenas

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

In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for particular classes of deterministic graphs,…

General Finance · Quantitative Finance 2010-11-04 Diego Garlaschelli , Franco Ruzzenenti , Riccardo Basosi

Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be…

Methodology · Statistics 2020-01-13 Giulia Bertagnolli , Claudio Agostinelli , Manlio De Domenico

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

This paper provides the analysis for structural and functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced, and local and global dynamic…

Physics and Society · Physics 2018-07-18 Olexandr Polishchuk

This paper proposes and illustrates a general framework to integrate the areas of vision research and complex networks. Each image pixel is associated to a network node and the Euclidean distance between the visual properties (e.g.…

Statistical Mechanics · Physics 2007-05-23 Luciano da Fontoura Costa

This paper proposes an alternative way to identify nodes with high betweenness centrality. It introduces a new metric, k-path centrality, and a randomized algorithm for estimating it, and shows empirically that nodes with high k-path…

Data Structures and Algorithms · Computer Science 2017-02-23 Nicolas Kourtellis , Tharaka Alahakoon , Ramanuja Simha , Adriana Iamnitchi , Rahul Tripathi

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

Betweenness centrality quantifies the importance of a vertex for the information flow in a network. We propose a flexible definition of betweenness for temporal multiplexes, where geodesics are determined accounting for the topological and…

Physics and Society · Physics 2020-02-04 Silvia Zaoli , Piero Mazzarisi , Fabrizio Lillo

This paper presents an unusual view of interference wireless networks based on complex system thinking. To proceed with this analysis, a literature review of the different applications of complex systems is firstly presented to illustrate…

Information Theory · Computer Science 2013-03-13 Pedro H. J. Nardelli , Paulo Cardieri , William A. Kretzschmar , Matti Latva-aho

Deep networks have shown remarkable performance across a wide range of tasks, yet getting a global concept-level understanding of how they function remains a key challenge. Many post-hoc concept-based approaches have been introduced to…

Machine Learning · Computer Science 2026-04-15 Amin Parchami-Araghi , Sukrut Rao , Jonas Fischer , Bernt Schiele

Over the past years, embedding learning on networks has shown tremendous results in link prediction tasks for complex systems, with a wide range of real-life applications. Learning a representation for each node in a knowledge graph allows…

Machine Learning · Computer Science 2026-02-03 Orell Trautmann , Olaf Wolkenhauer , Clémence Réda

The problem of link prediction has attracted considerable recent attention from various domains such as sociology, anthropology, information science, and computer sciences. A link prediction algorithm is proposed based on link similarity…

Social and Information Networks · Computer Science 2015-02-17 Maosheng Jiang , Yonxiang Chen , Ling Chen

A fundamental property of complex networks is the tendency for edges to cluster. The extent of the clustering is typically quantified by the clustering coefficient, which is the probability that a length-2 path is closed, i.e., induces a…

Social and Information Networks · Computer Science 2018-05-23 Hao Yin , Austin R. Benson , Jure Leskovec

Bipartite networks are powerful descriptions of complex systems characterized by two different classes of nodes and connections allowed only across but not within the two classes. Surprisingly, current complex network theory presents a…

Social and Information Networks · Computer Science 2015-12-15 Simone Daminelli , Josephine Maria Thomas , Claudio Durán , Carlo Vittorio Cannistraci

The network inference problem consists of reconstructing the edge set of a network given traces representing the chronology of infection times as epidemics spread through the network. This problem is a paradigmatic representative of…

Data Structures and Algorithms · Computer Science 2013-08-14 Bruno Abrahao , Flavio Chierichetti , Robert Kleinberg , Alessandro Panconesi

Networks of disparate phenomena-- be it the global ecology, human social institutions, within the human brain, or in micro-scale protein interactions-- exhibit broadly consistent architectural features. To explain this, we propose a new…

Physics and Society · Physics 2021-01-26 Keith M. Smith

Real-world complex networks describe connections between objects; in reality, those objects are often endowed with some kind of features. How does the presence or absence of such features interplay with the network link structure? Although…

Social and Information Networks · Computer Science 2017-10-10 Corrado Monti , Paolo Boldi

We construct a probabilistic coherence measure for information sets which determines a partial coherence ordering. This measure is applied in constructing a criterion for expanding our beliefs in the face of new information. A number of…

Artificial Intelligence · Computer Science 2007-05-23 Luc Bovens , Stephan Hartmann