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Many works have studied the Internet topology, but few have investigated the question of how it evolves over time. This paper focuses on the Internet routing IP-level topology and proposes a first step towards realistic modeling of its…

Networking and Internet Architecture · Computer Science 2015-03-19 Clémence Magnien , Amélie Medem , Fabien Tarissan

We propose a conceptually novel method of reconstructing the topology of dynamical networks. By examining the correlation between the variable of one node and the derivative of another node, we derive a simple matrix equation yielding the…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Zoran Levnajić

We consider a finite structured population of mobile individuals that strategically explore a network using a Markov movement model and interact with each other via a public goods game. We extend the model of Erovenko et al. (2019) from…

Physics and Society · Physics 2023-10-11 Igor V. Erovenko , Mark Broom

The dominant dynamics of sensor networks consist of using the energy of the sensor nodes to create the topology of hierarchical clustering using topology control protocols. The topology thus created will always have optimum number of nodes…

Networking and Internet Architecture · Computer Science 2015-07-23 Chiranjib Patra

Background: Controlling global epidemics in the real world and accelerating information propagation in the artificial world are of great significance, which have activated an upsurge in the studies on networked spreading dynamics. Lots of…

Physics and Society · Physics 2012-04-03 Ai-Xiang Cui , Zimo Yang , Tao Zhou

The structure and dynamics of a typical biological system are complex due to strong and inhomogeneous interactions between its constituents. The investigation of such systems with classical mathematical tools, such as differential equations…

Molecular Networks · Quantitative Biology 2008-02-15 Murat Tuğrul

We study the robustness properties of multiplex networks consisting of multiple layers of distinct types of links, focusing on the role of correlations between degrees of a node in different layers. We use generating function formalism to…

Physics and Society · Physics 2014-05-02 Byungjoon Min , Su Do Yi , Kyu-Min Lee , K. -I. Goh

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

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

The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and…

The structure of molecular networks derives from dynamical processes on evolutionary time scales. For protein interaction networks, global statistical features of their structure can now be inferred consistently from several…

Statistical Mechanics · Physics 2007-05-23 Johannes Berg , Michael Lässig , Andreas Wagner

Understanding the dependence and interplay between architecture and function in biological networks has great relevance to disease progression, biological fabrication and biological systems in general. We propose methods to assess the…

Quantitative Methods · Quantitative Biology 2009-10-17 Soumen Roy , Vladimir Filkov

From an enactive approach, some previous studies have demonstrated that social interaction plays a fundamental role in the dynamics of neural and behavioral complexity of embodied agents. In particular, it has been shown that agents with a…

Multiagent Systems · Computer Science 2020-11-04 Georgina Montserrat Reséndiz-Benhumea , Ekaterina Sangati , Tom Froese

We present a general computational theory of stem cell networks and their developmental dynamics. Stem cell networks are special cases of developmental control networks. Our theory generates a natural classification of all possible stem…

Other Quantitative Biology · Quantitative Biology 2016-07-18 Eric Werner

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

The association between tie strength and social structure is a fundamental topic in the social sciences. We study this association by analyzing tie strength in higher-order networks, an increasingly relevant model which can encode group…

Social and Information Networks · Computer Science 2024-09-26 Arnab Sarker , Jean-Baptiste Seby , Austin R. Benson , Ali Jadbabaie

To find interesting structure in networks, community detection algorithms have to take into account not only the network topology, but also dynamics of interactions between nodes. We investigate this claim using the paradigm of…

Social and Information Networks · Computer Science 2012-03-19 Rumi Ghosh , Kristina Lerman

We study diffusion and consensus dynamics in a Network of Networks model. In this model, there is a collection of sub-networks, connected to one another using a small number of links. We consider a setting where the links between networks…

Social and Information Networks · Computer Science 2020-02-17 Yuhao Yi , Anirban Das , Stacy Patterson , Bassam Bamieh , Zhongzhi Zhang

We introduce a novel approach for the quantitative assessment of the connectivity in neuronal cultures, based on the statistical mechanics of percolation on a graph. This allows us to follow the development of the culture and see the…

Disordered Systems and Neural Networks · Physics 2010-08-03 Jordi Soriano , Maria Rodrriguez Martinez , Tsvi Tlusty , Elisha Moses

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