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In line of the intermediate-term monitoring of seismic activity aimed at prediction of the world largest earthquakes the seismic dynamics of the Earth's lithosphere is analysed as a single whole, which is the ultimate scale of the complex…

Geophysics · Physics 2007-05-23 Leontina L. Romashkova , Vladimir G. Kossobokov

Community structure is one of the most relevant features encountered in numerous real-world applications of networked systems. Despite the tremendous effort of scientists working on this subject over the past few decades to characterize,…

Physics and Society · Physics 2019-12-18 Hocine Cherifi , Gergely Palla , Boleslaw K. Szymanski , Xiaoyan Lu

Most complex systems are nonlinear, relying on emergent behavior from interacting subsystems, often characterized by oscillatory dynamics. Collective oscillatory behavior is essential for the proper functioning of many real world systems.…

Adaptation and Self-Organizing Systems · Physics 2024-07-03 Soumen Majhi , Biswambhar Rakshit , Amit Sharma , Jürgen Kurths , Dibakar Ghosh

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

Community structure is one of the key properties of complex networks and plays a crucial role in their topology and function. While an impressive amount of work has been done on the issue of community detection, very little attention has…

Physics and Society · Physics 2010-09-17 Andrea Lancichinetti , Mikko Kivela , Jari Saramaki , Santo Fortunato

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

In network science, a group of nodes connected with each other at higher probability than with those outside the group is referred to as a community. From the perspective that individual communities are associated with functional modules…

Physics and Society · Physics 2019-12-10 Hiroshi Okamoto , Xu-le Qiu

Biological networks have evolved to be highly functional within uncertain environments while remaining extremely adaptable. One of the main contributors to the robustness and evolvability of biological networks is believed to be their…

Molecular Networks · Quantitative Biology 2008-02-14 Arend Hintze , Christoph Adami

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

Recent observation studies have revealed that earthquakes are classified into several different categories. Each category might be characterized by the unique statistical feature in the time series, but the present understanding is still…

Geophysics · Physics 2021-03-24 Sumanta Kundu , Anca Opris , Yohei Yukutake , Takahiro Hatano

Extreme events such as earthquakes, floods, and power blackouts often display burst phenomena where multiple extreme events occur in quick succession or in bunches. This study examines bunching of extreme events on a complex network using a…

Physics and Society · Physics 2025-09-24 Sarvesh K. Upadhyay , Vimal Kishore , Sanjay Kumar , R. E. Amritkar

Topology and weights are closely related in weighted complex networks and this is reflected in their modular structure. We present a simple network model where the weights are generated dynamically and they shape the developing topology. By…

Physics and Society · Physics 2008-01-30 J. M. Kumpula , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

Subgraphs and cycles are often used to characterize the local properties of complex networks. Here we show that the subgraph structure of real networks is highly time dependent: as the network grows, the density of some subgraphs remains…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alexei Vazquez , Joao G. Oliveira , Albert-Laszlo Barabasi

We study networks that display community structure -- groups of nodes within which connections are unusually dense. Using methods from random matrix theory, we calculate the spectra of such networks in the limit of large size, and hence…

Social and Information Networks · Computer Science 2012-05-10 Raj Rao Nadakuditi , M. E. J. Newman

Network science is an interdisciplinary endeavor, with methods and applications drawn from across the natural, social, and information sciences. A prominent problem in network science is the algorithmic detection of tightly-connected groups…

Data Analysis, Statistics and Probability · Physics 2010-07-14 Peter J. Mucha , Thomas Richardson , Kevin Macon , Mason A. Porter , Jukka-Pekka Onnela

The analysis of complex networks permeates all sciences, from biology to sociology. A fundamental, unsolved problem is how to characterize the community structure of a network. Here, using both standard and novel benchmarks, we show that…

Molecular Networks · Quantitative Biology 2012-12-24 Rodrigo Aldecoa , Ignacio Marín

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

We quantify the correlation between earthquakes and use the same to distinguish between relevant causally connected earthquakes. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski (2004). A network of…

Geophysics · Physics 2015-05-18 T. R. Krishna Mohan , P. G. Revathi

A crucial point in the debate on feasibility of earthquake prediction is the dependence of an earthquake magnitude from past seismicity. Indeed, whilst clustering in time and space is widely accepted, much more questionable is the existence…

Geophysics · Physics 2009-11-13 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

A complex network processing information or physical flows is usually characterized by a number of macroscopic quantities such as the diameter and the betweenness centrality. An issue of significant theoretical and practical interest is how…

Statistical Mechanics · Physics 2009-11-11 Xingang Wang , Ying-Cheng Lai , Chong Heng Lai