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Transportation networks serve as windows into the complex world of urban systems. By properly characterizing a road network, we can therefore better understand its encompassing urban system. This study offers a geometrical approach towards…

Physics and Society · Physics 2015-07-15 Farideddin Peiravian , Sybil Derrible

We consider the effects of network topology on the optimality of packet routing quantified by $\gamma_c$, the rate of packet insertion beyond which congestion and queue growth occurs. The key result of this paper is to show that for any…

Networking and Internet Architecture · Computer Science 2016-08-16 Sameet Sreenivasan , Reuven Cohen , Eduardo López , Zoltán Toroczkai , H. Eugene Stanley

In this paper, a simply rule that generates scale-free networks with very large clustering coefficient and very small average distance is presented. These networks are called {\bf Multistage Random Growing Networks}(MRGN) as the adding…

Computational Physics · Physics 2009-11-11 Jian-Guo Liu , Yan-Zhong Dang , Zhong-tuo Wang

We consider a non-projective class of inhomogeneous random graph models with interpretable parameters and a number of interesting asymptotic properties. Using the results of Bollob\'as et al. [2007], we show that i) the class of models is…

Machine Learning · Statistics 2018-10-04 Juho Lee , Lancelot F. James , Seungjin Choi , François Caron

We analyze the global structure of the world-wide air transportation network, a critical infrastructure with an enormous impact on local, national, and international economies. We find that the world-wide air transportation network is a…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. Guimera , S. Mossa , A. Turtschi , L. A. N. Amaral

We have examined a topology of 21 public transport networks in Poland. Our data exhibit several universal features in considered systems when they are analyzed from the point of view of evolving networks. Depending on the assumed definition…

Physics and Society · Physics 2010-11-29 Julian Sienkiewicz , Janusz A. Holyst

We study centrality in urban street patterns of different world cities represented as networks in geographical space. The results indicate that a spatial analysis based on a set of four centrality indices allows an extended visualization…

Physics and Society · Physics 2009-11-11 Paolo Crucitti , Vito Latora , Sergio Porta

We investigate the percentage of delivering capacities that are actually consumed in a typical traffic dynamics where the capacities are uniformly assigned over a scale-free network. Theoretical analysis, as well as simulations, reveal that…

Statistical Mechanics · Physics 2007-05-23 Shan He , Sheng Li , Hongru Ma

It has been discovered recently that many social, biological and ecological systems have the so-called small-world and scale-free features, which has provoked new research interest in the studies of various complex networks. Yet, most…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chunguang Li , Guanrong Chen

We present empirical evidence that land values are scale-free and introduce a network model that reproduces the observations. The network approach to urban modelling is based on the assumption that the market dynamics that generates land…

Disordered Systems and Neural Networks · Physics 2009-11-10 Claes Andersson , Alexander Hellervik , Kristian Lindgren , Anders Hagson , Jonas Tornberg

The network structure of an urban transportation system has a significant impact on its traffic performance. This study uses network indicators along with several traffic performance measures including speed, trip length, travel time, and…

Physics and Society · Physics 2015-07-15 Behnam Amini , Farideddin Peiravian , Morteza Mojarradi , Sybil Derrible

Many networks in natural and human-made systems exhibit scale-free properties and are small worlds. Now we show that people's understanding of complex systems in their cognitive maps also follow a scale-free topology. People focus on a few…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Uygar Ozesmi

We extend the standard scale-free network model to include a ``triad formation step''. We analyze the geometric properties of networks generated by this algorithm both analytically and by numerical calculations, and find that our model…

Disordered Systems and Neural Networks · Physics 2009-11-07 Petter Holme , Beom Jun Kim

We propose a simple rule that generates scale-free networks with very large clustering coefficient and very small average distance. These networks are called simplex triangulation networks(STNs) as they can be considered as a kind of…

Statistical Mechanics · Physics 2007-05-23 Zhi-Ming Gu , Tao Zhou , Bing-Hong Wang , Gang Yan , Chen-Ping Zhu , Zhong-Qian Fu

A network is formed using the $N$ sites of an one-dimensional lattice in the shape of a ring as nodes and each node with the initial degree $k_{in}=2$. $N$ links are then introduced to this network, each link starts from a distinct node,…

Statistical Mechanics · Physics 2009-11-07 G. Mukherjee , S. S. Manna

How to enhance the communication efficiency and quality on vehicular networks is one critical important issue. While with the larger and larger scale of vehicular networks in dense cities, the real-world datasets show that the vehicular…

Networking and Internet Architecture · Computer Science 2020-08-05 Jingjing Wang , Chunxiao Jiang , Longxiang Gao , Shui Yu , Zhu Han , Yong Ren

We show how scale-free degree distributions can emerge naturally from growing networks by using random walks for selecting vertices for attachment. This result holds for several variants of the walk algorithm and for a wide range of…

Statistical Mechanics · Physics 2007-05-23 T. S. Evans , J. P. Saramaki

There is a pressing need for a description of complex systems that includes considerations of the underlying network of interactions, for a diverse range of biological, technological and other networks. In this work relationships between…

Disordered Systems and Neural Networks · Physics 2007-05-23 Samantha Jenkins , Steven R. Kirk

Throughput capacity of large ad hoc networks has been shown to scale adversely with the size of network $n$. However the need for the nodes to find or repair routes has not been analyzed in this context. In this paper, we explicitly take…

Networking and Internet Architecture · Computer Science 2022-02-22 Eugene Perevalov , Rick S. Blum , Xun Chen , Anthony Nigara

In recent years, studies on public transport networks have intensified in the Social Networks field, especially in bus networks. This has occurred because of the relevance of urban mobility for the proper functioning of a city. The Rio de…

Social and Information Networks · Computer Science 2018-08-20 Louise Pumar , Rafael Barbastefano , Diego Carvalho