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In this paper we investigate networks whose evolution is governed by the interaction of a random assembly process and an optimization process. In the first process, new nodes are added one at a time and form connections to randomly selected…

无序系统与神经网络 · 物理学 2011-05-16 Markus Brede

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

数据分析、统计与概率 · 物理学 2011-11-04 Yukio Hayashi

We propose a general geometric growth model for pseudofractal scale-free web, which is controlled by two tunable parameters. We derive exactly the main characteristics of the networks: degree distribution, second moment of degree…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong , Shuigeng Zhou

This paper proposes an attributed network growth model. Despite the knowledge that individuals use limited resources to form connections to similar others, we lack an understanding of how local and resource-constrained mechanisms explain…

社会与信息网络 · 计算机科学 2019-04-17 Harshay Shah , Suhansanu Kumar , Hari Sundaram

In this work we present a model for evolving networks, where the driven force is related to the social affinity between individuals in a population. In the model, a set of individuals initially arranged on a regular ordered network and thus…

适应与自组织系统 · 物理学 2009-11-13 B. Ruyu , M. N. Kuperman

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

统计力学 · 物理学 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

We study evolving networks where new nodes when attached to the network form links with other nodes of preferred distances. A particular case is where always the shortest distances are selected (``make friends with the friends of your…

统计力学 · 物理学 2009-11-07 J. Jost , M. P. Joy

Disentangling the mechanisms underlying the social network evolution is one of social science's unsolved puzzles. Preferential attachment is a powerful mechanism explaining social network dynamics, yet not able to explain all scaling-laws…

社会与信息网络 · 计算机科学 2014-09-19 Yang Yang , Yuxiao Dong , Nitesh V. Chawla

Small-world networks, which combine randomized and structured elements, are seen as prevalent in nature. Several random graph models have been given for small-world networks, with one of the most fruitful, introduced by Jon Kleinberg,…

数据结构与算法 · 计算机科学 2007-05-23 Oskar Sandberg , Ian Clarke

Existing models of network growth typically have one or two parameters or strategies which are fixed for all times. We introduce a general framework where feedback on the current state of a network is used to dynamically alter the values of…

物理与社会 · 物理学 2009-01-07 Raissa M. D'Souza , Soumen Roy

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

无序系统与神经网络 · 物理学 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

Many networks extent in space, may it be metric (e.g. geographic) or non-metric (ordinal). Spatial network growth, which depends on the distance between nodes, can generate a wide range of topologies from small-world to linear scale-free…

物理与社会 · 物理学 2008-02-19 Florian Nisbach , Marcus Kaiser

Growing synthetic networks that follow power law distributions of a node's degree often involves adding one node at a time. Each node is added to the network with a fixed amount of edges and those edges are frozen for all future time steps.…

物理与社会 · 物理学 2026-01-27 Justin Downes

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

信息论 · 计算机科学 2016-11-17 Rui A. Costa , Joao Barros

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

神经元与认知 · 定量生物学 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

We present a new model of the evolutionary dynamics and the growth of on-line social networks. The model emulates people's strategies for acquiring information in social networks, emphasising the local subjective view of an individual and…

社会与信息网络 · 计算机科学 2013-10-01 Emanuele Massaro , Henrik Olsson , Andrea Guazzini , Franco Bagnoli

In this paper we present a generalized model for network growth that links the microscopical agent strategies with the large scale behavior. This model is intended to reproduce the largest number of features of the Internet network at the…

统计力学 · 物理学 2007-05-23 Guido Caldarelli , Paolo De Los Rios , Luciano Pietronero

The small-world property in the context of complex networks implies structural benefits to the processes taking place within a network, such as optimal information transmission and robustness. In this paper, we study a model network of…

适应与自组织系统 · 物理学 2015-08-03 Victor Hernandez-Urbina , J. Michael Herrmann

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

统计力学 · 物理学 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

In this paper we analyze the effect of a non-trivial topology on the dynamics of the so-called Naming Game, a recently introduced model which addresses the issue of how shared conventions emerge spontaneously in a population of agents. We…

统计力学 · 物理学 2007-05-23 Luca Dall'Asta , Andrea Baronchelli , Alain Barrat , Vittorio Loreto