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We study the temporal evolution of the structure of the world's largest subway networks in an exploratory manner. We show that, remarkably, all these networks converge to {a shape which shares similar generic features} despite their…

物理与社会 · 物理学 2013-02-19 Camille Roth , Soong Moon Kang , Michael Batty , Marc Barthelemy

Subway systems span most large cities, and railway networks most countries in the world. These networks are fundamental in the development of countries and their cities, and it is therefore crucial to understand their formation and…

物理与社会 · 物理学 2014-07-18 Rémi Louf , Camille Roth , Marc Barthelemy

Urban systems are composed by complex couplings of several components, and more particularly between the built environment and transportation networks. Their interaction is involved in the emergence of the urban form. We propose in this…

物理与社会 · 物理学 2018-12-03 Juste Raimbault

Conventional studies of network growth models mainly look at the steady state degree distribution of the graph. Often long time behavior is considered, hence the initial condition is ignored. In this contribution, the time evolution of the…

物理与社会 · 物理学 2013-05-10 Babak Fotouhi , Michael Rabbat

Motivated by the shape of transportation networks such as subways, we consider a distribution of points in the plane and ask for the network $G$ of given length $L$ that is optimal in a certain sense. In the general model, the optimality…

物理与社会 · 物理学 2019-05-22 David Aldous , Marc Barthelemy

In this paper, we propose an evolving network model growing fast in units of module, based on the analysis of the evolution characteristics in real complex networks. Each module is a small-world network containing several interconnected…

物理与社会 · 物理学 2011-10-11 Zou Zhi-Yun , Liu Peng , Lei Li , Gao Jian-Zhi

Many complex networks demonstrate a phenomenon of striking degree correlations, i.e., a node tends to link to other nodes with similar (or dissimilar) degrees. From the perspective of degree correlations, this paper attempts to characterize…

物理与社会 · 物理学 2014-10-21 Bin Jiang , Yingying Duan , Feng Lu , Tinghong Yang , Jing Zhao

The application of the network approach to the urban case poses several questions in terms of how to deal with metric distances, what kind of graph representation to use, what kind of measures to investigate, how to deepen the correlation…

其他凝聚态物理 · 物理学 2007-05-23 Sergio Porta , Paolo Crucitti , Vito Latora

We propose and test a model that describes the morphology of cities, the scaling of the urban perimeter of individual cities, and the area distribution of systems of cities. The model is also consistent with observable urban growth…

无序系统与神经网络 · 物理学 2009-10-31 Hernan A. Makse , Jose S. Andrade , Michael Batty , Shlomo Havlin , H. Eugene Stanley

Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

社会与信息网络 · 计算机科学 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

Growing graphs describe a multitude of developing processes from maturing brains to expanding vocabularies to burgeoning public transit systems. Each of these growing processes likely adheres to proliferation rules that establish an…

定量方法 · 定量生物学 2020-05-27 Ann Sizemore Blevins , Danielle S. Bassett

Real networks often grow through the sequential addition of new nodes that connect to older ones in the graph. However, many real systems evolve through the branching of fundamental units, whether those be scientific fields, countries, or…

物理与社会 · 物理学 2020-06-30 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

The linear preferential attachment hypothesis has been shown to be quite successful to explain the existence of networks with power-law degree distributions. It is then quite important to determine if this mechanism is the consequence of a…

统计力学 · 物理学 2009-11-07 Alexei Vazquez

This paper presents an evolution model of weighted networks in which the structural growth and weight dynamics are driven by human behavior, i.e. passenger route choice behavior. Transportation networks grow due to people's increasing…

物理与社会 · 物理学 2007-09-27 Yihong Hu , Daoli Zhu , Nianqu Zhu

Recent researches on complex systems highlighted the so-called super-linear growth phenomenon. As the system size $P$ measured as population in cities or active users in online communities increases, the total activities $X$ measured as GDP…

物理与社会 · 物理学 2012-12-21 Jiang Zhang

Several network growth models have been proposed in the literature that attempt to incorporate properties of citation networks. Generally, these models aim at retaining the degree distribution observed in real-world networks. In this work,…

社会与信息网络 · 计算机科学 2020-02-19 Dattatreya Mohapatra , Siddharth Pal , Soham De , Ponnurangam Kumaraguru , Tanmoy Chakraborty

The complexity of interactions between networks and territories has been widely acknowledged empirically, in particular through the existence of circular causal relations in their co-development, that can be understood as a co-evolution.…

物理与社会 · 物理学 2018-09-06 Juste Raimbault

The results of transportation infrastructure network analyses have been used to analyze complex networks in a topological context. However, most modeling approaches, including those based on complex network theory, do not fully account for…

物理与社会 · 物理学 2016-04-20 Qi Xu , Baohua Mao , Yun Bai

Urban infrastructure networks play a major role in providing reliable flows of multitude critical services demanded by citizens in modern cities. We analyzed here a database of 125 infrastructure networks, roads (RN); urban drainage…

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
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