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We analyse the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis…

物理与社会 · 物理学 2015-06-18 Ernesto Estrada , Jesus Gomez-Gardenes

In reality, many real-world networks interact with and depend on other networks. We develop an analytical framework for studying interacting networks and present an exact percolation law for a network of $n$ interdependent networks (NON).…

数据分析、统计与概率 · 物理学 2012-08-24 Jianxi Gao , S. V. Buldyrev , S. Havlin , H. E. Stanley

We study a problem of failure of two interdependent networks in the case of correlated degrees of mutually dependent nodes. We assume that both networks (A and B) have the same number of nodes $N$ connected by the bidirectional dependency…

无序系统与神经网络 · 物理学 2015-05-20 Sergey V. Buldyrev , Nathaniel Shere , Gabriel A. Cwilich

While actors in a population can interact with anyone else freely, social relations significantly influence our inclination towards particular individuals. The consequence of such interactions, however, may also form the intensity of our…

物理与社会 · 物理学 2024-04-24 Xiaojin Xiong , Ziyan Zeng , Minyu Feng , Attila Szolnoki

Interdependent networks are ubiquitous in our society, ranging from infrastructure to economics, and the study of their cascading behaviors using percolation theory has attracted much attention in the recent years. To analyze the…

物理与社会 · 物理学 2015-02-06 Ling Feng , Christopher Pineda Monterola , Yanqing Hu

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs, according to which strong connectivity depends on mean…

无序系统与神经网络 · 物理学 2023-04-12 Niall Rodgers , Peter Tino , Samuel Johnson

We introduce the concept of self-healing in the field of complex networks. Obvious applications range from infrastructural to technological networks. By exploiting the presence of redundant links in recovering the connectivity of the…

物理与社会 · 物理学 2014-03-05 Walter Quattrociocchi , Guido Caldarelli , Antonio Scala

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

社会与信息网络 · 计算机科学 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Percolation theory is extensively studied in statistical physics and mathematics with applications in diverse fields. However, the research is focused on systems with only one type of links, connectivity links. We review a recently…

统计力学 · 物理学 2015-05-28 Amir Bashan , Shlomo Havlin

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

混沌动力学 · 物理学 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

Understanding the resilience of infrastructures such as transportation network has significant importance for our daily life. Recently, a homogeneous spatial network model was developed for studying spatial embedded networks with…

物理与社会 · 物理学 2020-06-24 Bnaya Gross , Dana Vaknin , Sergey V. Buldyrev , Shlomo Havlin

Multilayer networks have been found to be prone to abrupt cascading failures under random and targeted attacks, but most of the targeting algorithms proposed so far have been mainly tested on uncorrelated systems. Here we show that the size…

物理与社会 · 物理学 2020-07-23 Andrea Santoro , Vincenzo Nicosia

Different types of interactions coexist and coevolve to shape the structure and function of a multiplex network. We propose here a general class of growth models in which the various layers of a multiplex network coevolve through a set of…

物理与社会 · 物理学 2014-10-15 Vincenzo Nicosia , Ginestra Bianconi , Vito Latora , Marc Barthelemy

Hypergraphs capture the higher-order interactions in complex systems and always admit a factor graph representation, consisting of a bipartite network of nodes and hyperedges. As hypegraphs are ubiquitous, investigating hypergraph…

物理与社会 · 物理学 2024-10-08 Ginestra Bianconi , Sergey N. Dorogovtsev

The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast…

物理与社会 · 物理学 2016-02-17 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

While traditional game models often simplify interactions among agents as static, real-world social relationships are inherently dynamic, influenced by both immediate payoffs and alternative information. Motivated by this fact, we introduce…

社会与信息网络 · 计算机科学 2024-11-25 Hongyu Yue , Xiaojin Xiong , Minyu Feng , Attila Szolnoki

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

统计力学 · 物理学 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

适应与自组织系统 · 物理学 2018-08-21 Giannis Moutsinas , Weisi Guo

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

网络与互联网体系结构 · 计算机科学 2015-09-03 Andrey A. Shchurov