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The importance of understanding human mobility patterns has led many studies to examine their spatial-temporal scaling laws. These studies mainly reveal that human travel can be highly non-homogeneous with power-law scaling distributions of…

Physics and Society · Physics 2021-10-14 Xiaoyan Feng , Huijun Sun , Bnaya Gross , Jianjun Wu , Daqing Li , Xin Yang , Dong Zhou , Ziyou Gao , Shlomo Havlin

We present a detailed analysis of the Connecting Nearest Neighbors (CNN) model by V\'azquez. We show that the degree distribution follows a power law, but the scaling exponent can vary with the parameter setting. Moreover, the…

Physics and Society · Physics 2016-08-11 Boris Rudolf , Mária Markošová , Martin Čajági , Peter Tiňo

We propose a geometric growth model for weighted scale-free networks, which is controlled by two tunable parameters. We derive exactly the main characteristics of the networks, which are partially determined by the parameters. Analytical…

Physics and Society · Physics 2011-11-09 Zhongzhi Zhang , Shuigeng Zhou , Lichao Chen , Jihong Guan , Lujun Fang , Yichao Zhang

Real-world networks often have power-law degrees and scale-free properties such as ultra-small distances and ultra-fast information spreading. In this paper, we study a third universal property: three-point correlations that suppress the…

Social and Information Networks · Computer Science 2017-11-01 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden , A. J. E. M Janssen

Scale-free networks are prevalently observed in a great variety of complex systems, which triggers various researches relevant to networked models of such type. In this work, we propose a family of growth tree networks $\mathcal{T}_{t}$,…

Combinatorics · Mathematics 2023-11-08 Fei Ma , Ping Wang

It is necessary and important to operate buses and trams on time. The bus schedule is closely related to the dynamic motion of buses. In this part, we introduce the nonlinear maps for describing the dynamics of shuttle buses in the…

Physics and Society · Physics 2017-11-17 Takashi Nagatani

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…

Physics and Society · Physics 2016-04-20 Qi Xu , Baohua Mao , Yun Bai

Urban road networks have distinct geometric properties that are partially determined by their (quasi-) two-dimensional structure. In this work, we study these properties for 20 of the largest German cities. We find that the small-scale…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Sonic H. Y. Chan , Reik V. Donner , Stefan Lämmer

In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links are existing, they usually connect to hubs-the well connected…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Barthelemy

We show that not only preferential attachment but also preferential depletion leads to scale-free networks. The resulting degree distribution exponents is typically less than two (5/3) as opposed to the case of the growth models studied…

Physics and Society · Physics 2015-05-27 Christian M. Schneider , Lucilla de Arcangelis , Hans J. Herrmann

This article analyzes the complex geometry of urban transportation networks as a gateway to understanding their encompassing urban systems. Using a proposed ring-buffer approach and applying it to 50 urban areas in the United States, we…

Physics and Society · Physics 2015-07-20 Farideddin Peiravian , Sybil Derrible

The clustering coefficient, path length and average vertex degree of two urban train line networks have been calculated. The results are compared with theoretical predictions for appropriate random bipartite graphs. They have also been…

Condensed Matter · Physics 2009-11-10 Katherine A Seaton , Lisa M Hackett

Geometric constraints impact the formation of a broad range of spatial networks, from amino acid chains folding to proteins structures to rearranging particle aggregates. How the network of interactions dynamically self-organizes in such…

Molecular Networks · Quantitative Biology 2016-10-19 Nora Molkenthin , Marc Timme

Transportation networks are inevitably selected with reference to their global cost which depends on the strengths and the distribution of the embedded currents. We prove that optimal current distributions for a uniformly injected…

Statistical Mechanics · Physics 2015-05-13 Filippo Simini , Andrea Rinaldo , Amos Maritan

To study transport properties of complex networks, we analyze the equivalent conductance $G$ between two arbitrarily chosen nodes of random scale-free networks with degree distribution $P(k)\sim k^{-\lambda}$ in which each link has the same…

Other Condensed Matter · Physics 2016-08-16 Eduardo López , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

In this paper, we study the transport capacity of large multi-hop wireless CSMA networks. Different from previous studies which rely on the use of centralized scheduling algorithm and/or centralized routing algorithm to achieve the optimal…

Networking and Internet Architecture · Computer Science 2016-11-17 Tao Yang , Guoqiang Mao , Wei Zhang , Xiaofeng Tao

One abstract method for the study of network transportation is proposed in this paper. By interpolating the properties of the edges that constitute network into the two leading parameters of the nodes, this method can abstract the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Chang Yun-Feng , Xu Cai

The community structure and motif-modular-network hierarchy are of great importance for understanding the relationship between structures and functions. In this paper, we investigate the distribution of clique-degree, which is an extension…

Physics and Society · Physics 2009-11-11 Wei-Ke Xiao , Jie Ren , Qi Feng , Zhi-Wei Song , Meng-Xiao Zhu , Hong-Feng Yang , Hui-Yu Jin , Bing-Hong Wang , Tao Zhou

This paper shows that the deployment of an opportunistic network on any public transportation system leads to obtain a scalable and efficient urban communication platform. We use the term Bus Switched Networks (BSNs) to indicate this urban…

Networking and Internet Architecture · Computer Science 2015-03-19 Sabrina Gaito , Dario Maggiorini , Gian Paolo Rossi

Large scale traffic networks are an indispensable part of contemporary human mobility and international trade. Networks of airport travel or cargo ships movements are invaluable for the understanding of human mobility…

Physics and Society · Physics 2013-03-18 Marko Popović , Hrvoje Štefančić , Vinko Zlatić
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