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Images of natural systems may represent patterns of network-like structure, which could reveal important information about the topological properties of the underlying subject. However, the image itself does not automatically provide a…

计算机视觉与模式识别 · 计算机科学 2021-09-03 Diego Baptista , Caterina De Bacco

The problem of searchability in decentralized complex networks is of great importance in computer science, economy and sociology. We present a formalism that is able to cope simultaneously with the problem of search and the congestion…

无序系统与神经网络 · 物理学 2009-11-07 R. Guimera , A. Arenas , A. Diaz-Guilera , F. Vega-Redondo , A. Cabrales

Network science provides an indispensable theoretical framework for studying the structure and function of real complex systems. Different network models are often used for finding the rules that govern their evolution, whereby the correct…

物理与社会 · 物理学 2020-09-02 Ana Vranić , Marija Mitrović Dankulov

Network generators that capture the Internet's large-scale topology are crucial for the development of efficient routing protocols and modeling Internet traffic. Our ability to design realistic generators is limited by the incomplete…

统计力学 · 物理学 2009-11-07 Soon-Hyung Yook , Hawoong Jeong , Albert-Laszlo Barabasi

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

无序系统与神经网络 · 物理学 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

This thesis is a compendium of research which brings together ideas from the fields of Complex Networks and Computational Neuroscience to address two questions regarding neural systems: 1) How the activity of neurons, via synaptic changes,…

神经元与认知 · 定量生物学 2013-02-19 Samuel Johnson

Genetic regulatory networks are defined by their topology and by a multitude of continuously adjustable parameters. Here we present a class of simple models within which the relative importance of topology vs. interaction strengths becomes…

分子网络 · 定量生物学 2013-08-02 Mikhail Tikhonov , William Bialek

This work clarifies the relation between network circuit (topology) and behavior (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how to determine a network topology that is…

混沌动力学 · 物理学 2015-05-13 M. S. Baptista , J. X. de Carvalho , M. S. Hussein

A complexity-theoretic approach to studying biological networks is proposed. A simple graph representation is used where molecules (DNA, RNA, proteins and chemicals) are vertices and relations between them are directed and signed…

社会与信息网络 · 计算机科学 2018-04-25 Ali Atiia , François Major , Jérôme Waldispühl

Here we analyze the topology of the network formed by the minima and transition states on the potential energy landscape of small clusters. We find that this network has both a small-world and scale-free character. In contrast to other…

凝聚态物理 · 物理学 2007-05-23 Jonathan P. K. Doye

Scale-free and non-computable characteristics of natural networks are found to result from the least-time dispersal of energy. To consider a network as a thermodynamic system is motivated since ultimately everything that exists can be…

综合物理 · 物理学 2011-06-22 Tuomo Hartonen , Arto Annila

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

物理与社会 · 物理学 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

The network topology and the routing strategy are major factors to affect the traffic dynamics of the network. In this work, we aim to design an optimal time-varying network structure and an efficient route is allocated to each user in the…

网络与互联网体系结构 · 计算机科学 2019-09-18 Suchi Kumari , Anurag Singh

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

统计方法学 · 统计学 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

Natural selection and random drift are competing phenomena for explaining the evolution of populations. Combining a highly fit mutant with a population structure that improves the odds that the mutant spreads through the whole population…

种群与进化 · 定量生物学 2009-08-14 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Networked structure emerged from a wide range of fields such as biological systems, World Wide Web and technological infrastructure. A deeply insight into the topological complexity of these networks has been gained. Some works start to pay…

物理与社会 · 物理学 2012-02-03 Jiang Xiongfei

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain…

物理与社会 · 物理学 2017-12-06 L. A. Bunimovich , D. C. Smith , B. Z. Webb

We propose a modeling framework for growing multiplexes where a node can belong to different networks. We define new measures for multiplexes and we identify a number of relevant ingredients for modeling their evolution such as the coupling…

物理与社会 · 物理学 2013-08-01 Vincenzo Nicosia , Ginestra Bianconi , Vito Latora , Marc Barthelemy

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili