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Various important and useful quantities or measures that characterize the topological network structure are usually investigated for a network, then they are averaged over the samples. In this paper, we propose an explicit representation by…

物理与社会 · 物理学 2016-09-02 Yukio Hayashi

We consider an evolving network of a fixed number of nodes. The allocation of edges is a dynamical stochastic process inspired by biological reproduction dynamics, namely by deleting and duplicating existing nodes and their edges. The…

统计力学 · 物理学 2007-09-14 Henrik Jeldtot Jensen

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…

Real world complex networks are scale free and possess meso-scale properties like core-periphery and community structure. We study evolution of the core over time in real world networks. This paper proposes evolving models for both…

社会与信息网络 · 计算机科学 2015-12-01 Akrati Saxena , S. R. S. Iyengar

We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neighbor of maximal degree, as long as the degree is increasing.…

无序系统与神经网络 · 物理学 2008-12-30 Shai Carmi , P. L. Krapivsky , Daniel ben-Avraham

In this paper we propose a distributed algorithm for the estimation and control of the connectivity of ad-hoc networks in the presence of a random topology. First, given a generic random graph, we introduce a novel stochastic power…

分布式、并行与集群计算 · 计算机科学 2015-06-17 Paolo Di Lorenzo , Sergio Barbarossa

We present analytical results for the emerging structure of networks that evolve via a combination of growth (by node addition and random attachment) and contraction (by random node deletion). To this end we consider a network model in…

统计力学 · 物理学 2022-10-25 Barak Budnick , Ofer Biham , Eytan Katzav

We generalize the poissonian evolving random graph model of Bauer and Bernard to deal with arbitrary degree distributions. The motivation comes from biological networks, which are well-known to exhibit non poissonian degree distribution. A…

统计力学 · 物理学 2009-11-07 Stephane Coulomb , Michel Bauer

Recently, In [Phys. Rev. Lett. 104, 018701 (2010)] the authors studied a spatial network which is constructed from a regular lattice by adding long-range edges (shortcuts) with probability $P_{ij}\sim r_{ij}^{-\alpha}$, where $r_{ij}$ is…

物理与社会 · 物理学 2015-06-03 Weiping Liu , An Zeng , Yanbo Zhou

We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communicating information and allocating goods in socioeconomic networks. In the model, the utility function of each node is given by a…

物理与社会 · 物理学 2009-11-13 Rui Carvalho , Giulia Iori

Inspired by the structure of technological networks, we discuss network evolution mechanisms which give rise to topological properties found in real spatial networks. Thus, the peculiar structure of transport and distribution networks is…

物理与社会 · 物理学 2009-11-13 R. Xulvi-Brunet , I. M. Sokolov

The topology of the Internet has typically been measured by sampling traceroutes, which are roughly shortest paths from sources to destinations. The resulting measurements have been used to infer that the Internet's degree distribution is…

无序系统与神经网络 · 物理学 2013-05-29 Aaron Clauset , Cristopher Moore

We introduce a new family of models for growing networks. In these networks new edges are attached preferentially to vertices with higher number of connections, and new vertices are created by already existing ones, inheriting part of their…

统计力学 · 物理学 2009-11-07 S. N. Dorogovtsev , A. N. Samukhin , J. F. F. Mendes

We introduce a new class of networks that grow by enhanced redirection. Nodes are introduced sequentially, and each either attaches to a randomly chosen target node with probability 1-r or to the ancestor of the target with probability r,…

统计力学 · 物理学 2013-11-14 Alan Gabel , P. L. Krapivsky , S. Redner

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

概率论 · 数学 2007-05-23 Jonathan Rowe , Boris Mitavskiy

We define a class of growing networks in which new nodes are given a spatial position and are connected to existing nodes with a probability mechanism favoring short distances and high degrees. The competition of preferential attachment and…

概率论 · 数学 2015-03-18 Emmanuel Jacob , Peter Mörters

Unlike the well-studied models of growing networks, where the dominant dynamics consist of insertions of new nodes and connections, and rewiring of existing links, we study {\em ad hoc} networks, where one also has to contend with rapid and…

无序系统与神经网络 · 物理学 2009-11-10 Nima Sarshar , Vwani Roychowdhury

Barab\'asi-Albert's `Scale Free' model is the starting point for much of the accepted theory of the evolution of real world communication networks. Careful comparison of the theory with a wide range of real world networks, however,…

物理与社会 · 物理学 2017-09-11 Philip Tee , Ian Wakeman , George Parisis , Jonathan Dawes , István Z. Kiss

The coupling of some types of oscillators requires the mediation of a physical link between them, rendering the distance between oscillators a critical factor to achieve synchronization. In this paper we propose and explore a greedy…

适应与自组织系统 · 物理学 2022-09-21 Damien Beecroft , Juan G. Restrepo , David Angulo-Garcia

The degree distributions of complex networks are usually considered to be power law. However, it is not the case for a large number of them. We thus propose a new model able to build random growing networks with (almost) any wanted degree…

社会与信息网络 · 计算机科学 2020-12-08 Thibaud Trolliet , Frédéric Giroire , Stéphane Pérennes