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This paper establishes a relation between scale-free networks and Markov chains, and proposes a computation framework for degree distributions of scale-free networks. We first find that, under the BA model, the degree evolution of…

数学物理 · 物理学 2007-05-23 Dinghua Shi , Qinghua Chen , Liming Liu

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

社会与信息网络 · 计算机科学 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

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

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

统计力学 · 物理学 2017-03-22 Tamás Biró , Zoltán Néda

This paper deals with the distributed processing in the search for an optimum classification model using evolutionary product unit neural networks. For this distributed search we used a cluster of computers. Our objective is to obtain a…

神经与进化计算 · 计算机科学 2012-05-16 A. J. Tallón-Ballesteros , P. A. Gutiérrez-Peña , C. Hervás-Martínez

We proposed an evolving network model constituted by the same nodes but different edges. The competition between nodes and different links were introduced. Scale free properties have been found in this model by continuum theory. Different…

统计力学 · 物理学 2013-05-29 Jie Sun , Yizhi Ge , Sheng Li

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

种群与进化 · 定量生物学 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

Many real-world networks are embedded in space, and their resilience in the presence of reinforced nodes has not been studied. Here we model such networks using a spatial network model that have an exponential distribution of link length…

物理与社会 · 物理学 2023-06-21 Nir Vaturi , Bnaya Gross , Shlomo Havlin

A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length j arriving at this node. In detail, when…

物理与社会 · 物理学 2012-08-31 R. Lambiotte , M. Ausloos

We extend the previously observed scaling equation connecting the internode distances and nodes' degrees onto the case of weighted networks. We show that the scaling takes a similar form in the empirical data obtained from networks…

物理与社会 · 物理学 2010-08-25 Julian Sienkiewicz , Janusz A. Holyst

Novel method of reconstructing dynamical networks from empirically measured time series is proposed. By examining the variable--derivative correlation of network node pairs, we derive a simple equation that directly yields the adjacency…

数据分析、统计与概率 · 物理学 2012-10-09 Zoran Levnajić

Understanding the evolutionary patterns of real-world evolving complex systems such as human interactions, transport networks, biological interactions, and computer networks has important implications in our daily lives. Predicting future…

机器学习 · 计算机科学 2020-08-19 Khushnood Abbas , Alireza Abbasi , Dong Shi , Niu Ling , Mingsheng Shang , Chen Liong , Bolun Chen

We study spatial networks that are designed to distribute or collect a commodity, such as gas pipelines or train tracks. We focus on the cost of a network, as represented by the total length of all its edges, and its efficiency in terms of…

无序系统与神经网络 · 物理学 2007-05-23 Michael T. Gastner , M. E. J. Newman

Structure and dynamics of complex networks usually deal with degree distributions, clustering, shortest path lengths and other graph properties. Although these concepts have been analysed for graphs on abstract spaces, many networks happen…

统计力学 · 物理学 2009-11-13 M. O. Hase , J. F. F. Mendes

Motivated by results of Henry, Pralat and Zhang (PNAS 108.21 (2011): 8605-8610), we propose a general scheme for evolving spatial networks in order to reduce their total edge lengths. We study the properties of the equilbria of two networks…

物理与社会 · 物理学 2014-07-17 Chris Varghese , Rick Durrett

The problem of unsupervised learning node embeddings in graphs is one of the important directions in modern network science. In this work we propose a novel framework, which is aimed to find embeddings by \textit{discriminating…

机器学习 · 统计学 2020-01-24 Stanislav Tsepa , Maxim Panov

We consider distributed networks, such as peer-to-peer networks, whose structure can be manipulated by adjusting the rules by which vertices enter and leave the network. We focus in particular on degree distributions and show that, with…

物理与社会 · 物理学 2007-10-18 Gourab Ghoshal , M. E. J. Newman

In this paper, we study a class of stochastic processes, called evolving network Markov chains, in evolving networks. Our approach is to transform the degree distribution problem of an evolving network to a corresponding problem of evolving…

数学物理 · 物理学 2009-04-23 Zhenting Hou , Xiangxing Kong , Dinghua Shi , Guanrong Chen , Qinggui Zhao

Many functions have been recently defined to assess the similarity among networks as tools for quantitative comparison. They stem from very different frameworks - and they are tuned for dealing with different situations. Here we show an…

分子网络 · 定量生物学 2012-08-21 Giuseppe Jurman , Roberto Visintainer , Cesare Furlanello

This paper presents a distributed algorithm to simultaneously compute the diameter, radius and node eccentricity in all nodes of a synchronous network. Such topological information may be useful as input to configure other algorithms.…

分布式、并行与集群计算 · 计算机科学 2013-05-10 Paulo Sérgio Almeida , Carlos Baquero , Alcino Cunha