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We introduce a minimal model of small-world growing network generated by attaching to edges. The produced network is a plane graph which exists in real-life world. We obtain the analytic results of degree distribution decaying exponentially…

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

We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node`s attractiveness. The developed model reveals that increasing either the network`s mean degree or the…

物理与社会 · 物理学 2017-06-22 S. Dipple , T. Jia , T. Caraco , G. Korniss , B. K. Szymanski

Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant…

物理与社会 · 物理学 2015-05-26 Zhihao Wu , Giulia Menichetti , Christoph Rahmede , Ginestra Bianconi

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

In many real-world networks, nodes have class labels, attributes, or variables that affect the network's topology. If the topology of the network is known but the labels of the nodes are hidden, we would like to select a small subset of…

信息论 · 计算机科学 2011-09-16 Cristopher Moore , Xiaoran Yan , Yaojia Zhu , Jean-Baptiste Rouquier , Terran Lane

Most networks encountered in nature, society, and technology have weighted edges, representing the strength of the interaction/association between their vertices. Randomizing the structure of a network is a classic procedure used to…

物理与社会 · 物理学 2025-10-29 Filipi N. Silva , Sadamori Kojaku , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

数据分析、统计与概率 · 物理学 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

The information regarding the structure of a single protein is encoded in the network of interacting amino acids. Considering each protein as a weighted and unweighted network of amino acids we have analyzed a total of forty nine protein…

分子网络 · 定量生物学 2015-06-26 Md. Aftabuddin , Sudip Kundu

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

物理与社会 · 物理学 2009-11-11 Chunguang Li , Philip K. Maini

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

物理与社会 · 物理学 2015-05-30 Sinisa Pajevic , Dietmar Plenz

There has been considerable recent interest in the properties of networks, such as citation networks and the worldwide web, that grow by the addition of vertices, and a number of simple solvable models of network growth have been studied.…

统计力学 · 物理学 2011-11-09 Cristopher Moore , Gourab Ghoshal , M. E. J. Newman

Many natural, technological, and social systems incorporate multiway interactions, yet are characterized and measured on the basis of weighted pairwise interactions. In this article, I propose a family of models in which pairwise…

物理与社会 · 物理学 2013-06-17 Eduardo López

It is becoming increasingly common to see large collections of network data objects -- that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based…

统计理论 · 数学 2019-02-08 Eric Kolaczyk , Lizhen Lin , Steven Rosenberg , Jie Xu , Jackson Walters

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

We present a Bayesian formulation of weighted stochastic block models that can be used to infer the large-scale modular structure of weighted networks, including their hierarchical organization. Our method is nonparametric, and thus does…

机器学习 · 统计学 2018-01-24 Tiago P. Peixoto

The co-authorship network of scientists represents a prototype of complex evolving networks. By mapping the electronic database containing all relevant journals in mathematics and neuro-science for an eight-year period (1991-98), we infer…

软凝聚态物质 · 物理学 2009-11-07 A. L. Barabasi , H. Jeong , Z. Neda , E. Ravasz , A. Schubert , T. Vicsek

Investigating relation between various structural patterns found in real-world networks and stability of underlying systems is crucial to understand importance and evolutionary origin of such patterns. We evolve multiplex networks,…

适应与自组织系统 · 物理学 2017-02-22 Sanjiv K. Dwivedi , Sarika Jalan

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that…

统计力学 · 物理学 2009-10-31 Frantisek Slanina , Miroslav Kotrla

Attributed network embedding has attracted plenty of interest in recent years. It aims to learn task-independent, low-dimensional, and continuous vectors for nodes preserving both topology and attribute information. Most of the existing…

机器学习 · 计算机科学 2020-11-03 Xueyan Liu , Bo Yang , Wenzhuo Song , Katarzyna Musial , Wanli Zuo , Hongxu Chen , Hongzhi Yin

As a model of temporally evolving networks, we consider a globally coupled logistic map with variable connection weights. The model exhibits self-organization of network structure, reflected by the collective behavior of units. Structural…

无序系统与神经网络 · 物理学 2009-11-07 Junji Ito , Kunihiko Kaneko