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Scale-free (SF) networks and small world networks have been found to occur in very diverse contexts. It is this striking universality which makes one look for widely applicable mechanisms which lead to the formation of such networks. In…

Disordered Systems and Neural Networks · Physics 2007-05-23 Markus Brede , John Finnigan

In this paper, we propose a new model that allows us to investigate this competitive aspect of real networks in quantitative terms. Through theoretical analysis and numerical simulations, we find that the competitive network have the…

Physics and Society · Physics 2015-05-05 Jin-Li Guo , Chao Fan , Ya-Li Ji

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

The sensitivity of networks regarding the removal of vertices has been studied extensively within the last 15 years. A common approach to measure this sensitivity is (i) removing successively vertices by following a specific removal…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

Unlike classical centrality measures, recently developed community-aware centrality measures use a network's community structure to identify influential nodes in complex networks. This paper investigates their relationship on a set of fifty…

Social and Information Networks · Computer Science 2022-02-01 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Social network research has begun to take advantage of fine-grained communications regarding coordination, decision-making, and knowledge sharing. These studies, however, have not generally analyzed how external events are associated with a…

Social and Information Networks · Computer Science 2016-02-02 Daniel M. Romero , Brian Uzzi , Jon Kleinberg

In the past few decades, the frequency of pandemics has been increased due to the growth of urbanization and mobility among countries. Since a disease spreading in one country could become a pandemic with a potential worldwide humanitarian…

Physics and Society · Physics 2020-04-01 L. D. Valdez , L. A. Braunstein , S. Havlin

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Wireless communication is rapidly evolving, and future wireless communications (6G and beyond) will be more heterogeneous, multi-layered, and complex, which poses challenges to traditional communications. Adaptive technologies in…

Emerging Technologies · Computer Science 2024-04-09 Liangxin Qian , Ping Yang , Jun Zhao , Ze Chen , Wanbin Tang

We present a new framework to measure the intrinsic properties of (deep) neural networks. While we focus on convolutional networks, our framework can be extrapolated to any network architecture. In particular, we evaluate two network…

Machine Learning · Computer Science 2022-05-10 Alberto Badias , Ashis Banerjee

Several important complex network measures that helped discovering common patterns across real-world networks ignore edge weights, an important information in real-world networks. We propose a new methodology for generalizing measures of…

Data Analysis, Statistics and Probability · Physics 2016-01-22 Sherief Abdallah

Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the macroscopic domain geometry. In contrast, we show that the…

Disordered Systems and Neural Networks · Physics 2017-06-29 Justin Coon , Carl P. Dettmann , Orestis Georgiou

Recently it was shown that the transitive closure of a directed graph can be updated using first-order formulas after insertions and deletions of single edges in the dynamic descriptive complexity framework by Dong, Su, and Topor, and…

Logic in Computer Science · Computer Science 2018-04-25 Samir Datta , Anish Mukherjee , Nils Vortmeier , Thomas Zeume

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

Directed and heterogeneous hypergraphs capture directional higher-order interactions with intrinsically asymmetric functional dependencies among nodes. As a result, damage to certain nodes can suppress entire hyperedges, whereas failure of…

Disordered Systems and Neural Networks · Physics 2026-01-29 Yunxue Sun , Xueming Liu , Ginestra Bianconi

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

Physics and Society · Physics 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

Long-range interactions are essential for the correct description of complex systems in many scientific fields. The price to pay for including them in the calculations, however, is a dramatic increase in the overall computational costs.…

We consider the question of determining how the topological structure influences a consensus dynamical process taking place on a network. By considering a large dataset of real-world networks we first determine that the removal of edges…

Physics and Society · Physics 2015-12-09 Ernesto Estrada , Eusebio Vargas-Estrada , Hiroyasu Ando

Predicting performance-related behavior of the underlying network structure becomes more and more indispensable in terms of the aspired application outcome quality. However, the reliable forecast of QoS metrics like packet transfer delay in…

Performance · Computer Science 2013-08-20 Adam Bachorek , Bagavathiannan Palanisamy , Jens B. Schmitt