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The robustness and resilience of complex systems are crucial for maintaining functionality amid disruptions or intentional attacks. Many such systems can be modeled as networks, where identifying structurally central nodes is essential for…

Physics and Society · Physics 2025-09-30 Ru Zheng , Marcus Engsig , Alejandro Tejedor , Yamir Moreno

We study whether specific combinations of technological advancements can signal the presence of local capabilities allowing for a given industrial production. To this end, we generate a multi-layer network using country-level patent and…

Physics and Society · Physics 2019-01-31 Martina Formichini , Giulio Cimini , Emanuele Pugliese , Andrea Gabrielli

Multiplex networks describe a large number of complex social, biological and transportation networks where a set of nodes is connected by links of different nature and connotation. Here we uncover the rich community structure of multiplex…

Physics and Society · Physics 2018-07-04 Raul J Mondragon , Jacopo Iacovacci , Ginestra Bianconi

Multilayer networks have been the subject of intense research during the last few years, as they represent better the interdependent nature of many real world systems. Here, we address the question of describing the three different…

Physics and Society · Physics 2016-12-07 E. Cozzo , Y. Moreno

Traditionally, the evolution of cooperation has been studied on single, isolated networks. Yet a player, especially in human societies, will typically be a member of many different networks, and those networks will play a different role in…

Physics and Society · Physics 2014-06-09 Zhen Wang , Lin Wang , Matjaz Perc

A multiplex social network captures multiple types of social relations among the same set of people, with each layer representing a distinct type of relationship. Understanding the structure of such systems allows us to identify how social…

Social and Information Networks · Computer Science 2025-08-08 Nikolaos Nakis , Sune Lehmann , Nicholas A. Christakis , Morten Mørup

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Many complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social…

Physics and Society · Physics 2013-11-12 Arda Halu , Raul J. Mondragon , Pietro Panzarasa , Ginestra Bianconi

This paper uses a multi-layer network model to study deliberation in online discussion platforms, focusing on the Reddit platform. The model comprises two layers: a discussion layer, which represents the comment-to-comment replies as a…

Social and Information Networks · Computer Science 2024-10-30 Tianshu Gao , Mengbin Ye , Robert Ackland

Multilayer networks provide a framework to study complex systems with multiple types of interactions, multiple dynamical processes, and/or multiple subsystems. When studying a dynamical process on a multilayer network, it is important to…

Physics and Society · Physics 2025-09-25 Suman S. Kulkarni , Christopher W. Lynn , Mason A. Porter , Dani S. Bassett

Multilayer networks proved to be suitable in extracting and providing dependency information of different complex systems. The construction of these networks is difficult and is mostly done with a static approach, neglecting time delayed…

Risk Management · Quantitative Finance 2020-04-14 Giuseppe Brandi , T. Di Matteo

A layered neural network is now one of the most common choices for the prediction of high-dimensional practical data sets, where the relationship between input and output data is complex and cannot be represented well by simple conventional…

Machine Learning · Statistics 2018-04-16 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

The concept of multilayer networks has become recently integrated into complex systems modeling since it encapsulates a very general concept of complex relationships. Biological pathways are an example of complex real-world networks, where…

Human-Computer Interaction · Computer Science 2021-10-12 Hsiang-Yun Wu , Martin Nöllenburg , Ivan Viola

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

Multivariate networks are commonly found in real-world data-driven applications. Uncovering and understanding the relations of interest in multivariate networks is not a trivial task. This paper presents a visual analytics workflow for…

Social and Information Networks · Computer Science 2024-07-04 Hsiao-Ying Lu , Takanori Fujiwara , Ming-Yi Chang , Yang-chih Fu , Anders Ynnerman , Kwan-Liu Ma

Networks extracted from social media platforms frequently include multiple types of links that dynamically change over time; these links can be used to represent dyadic interactions such as economic transactions, communications, and shared…

Social and Information Networks · Computer Science 2016-09-14 Alireza Hajibagheri , Gita Sukthankar , Kiran Lakkaraju

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

Many interesting real-world systems are represented as complex networks with multiple types of interactions and complicated dependency structures between layers. These interactions can be encoded as having a valence with positive links…

Social and Information Networks · Computer Science 2018-08-20 Alireza Hajibagheri , Gita Sukthankar

Spatial networks range from the brain networks, to transportation networks and infrastructures. Recently interacting and multiplex networks are attracting great attention because their dynamics and robustness cannot be understood without…

Physics and Society · Physics 2015-06-17 Arda Halu , Satyam Mukherjee , Ginestra Bianconi

Much of the complexity of social, biological, and engineered systems arises from a network of complex interactions connecting many basic components. Network analysis tools have been successful at uncovering latent structure termed…

Social and Information Networks · Computer Science 2021-08-03 Xiaodong Xin , Kun He , Jialu Bao , Bart Selman , John E. Hopcroft