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A fundamental problem in the study of complex networks is to provide quantitative measures of correlation and information flow between different parts of a system. To this end, several notions of communicability have been introduced and…

Physics and Society · Physics 2015-04-08 Ernesto Estrada , Naomichi Hatano , Michele Benzi

The behavior of complex networks under attack depends strongly on the specific attack scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure or attack but appear to be especially…

Physics and Society · Physics 2009-04-03 C. von Ferber , T. Holovatch , Yu. Holovatch

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

We propose a route choice model in which traveler behavior is represented as a utility maximizing assignment of flow across an entire network under a flow conservation constraint}. Substitution between routes depends on how much they…

Econometrics · Economics 2021-09-23 Mogens Fosgerau , Mads Paulsen , Thomas Kjær Rasmussen

Traditionally, most schematic metro maps in practice as well as metro map layout algorithms adhere to an octolinear layout style with all paths composed of horizontal, vertical, and 45{\deg}-diagonal edges. Despite growing interest in more…

Computational Geometry · Computer Science 2020-05-18 Soeren Nickel , Martin Nöllenburg

Method of U-statistics is used to analyze the efficiency of functioning of the motor transport system of a large city as a complex network system with partially ordered traffic flows. Based on the results of continuous monitoring of…

Physics and Society · Physics 2021-11-30 Olexandr Polishchuk , Mykhailo Yadzhak

Mexico City, the largest city in Mexico, is also one of the largest cities in the world. It has over 9 million inhabitants and concentrates the vast majority of government and business centers. In this work we describe algorithms that use…

We investigate the behavior of extended urban traffic networks within the framework of percolation theory by using real and synthetic traffic data. Our main focus shifts from the statistical properties of the cluster size distribution…

Physics and Society · Physics 2021-07-21 Marco Cogoni , Giovanni Busonera

Urban road networks are well known to have universal characteristics and scale-invariant patterns, despite the different geographical and historical environments of cities. Previous studies on universal characteristics of the urban road…

Physics and Society · Physics 2023-08-09 Minjin Lee , SangHyun Cheon , Seung-Woo Son , Mi Jin Lee , Sungmin Lee

Previously, transport networks are usually treated as homogeneous networks, that is, every node has the same function, simultaneously providing and requiring resources. However, some real networks, such as power grid and supply chain…

Data Analysis, Statistics and Probability · Physics 2010-06-08 Yu-Han Chen , Bing-Hong Wang , Li-Chao Zhao , Changsong Zhou , Tao Zhou

Designing spatial networks, such as transport networks, commonly deals with the problem of how to best connect a set of locations through a set of links. In practice, it can be crucial to order the implementation of the links in a way that…

Public transport networks(PTNs)are difficult to use when the user is unfamiliar with the area they are traveling to.This is true for both infrequent users(including visitors)and regular users who need to travel to areas with which they are…

Computers and Society · Computer Science 2014-07-02 Mr. Pradip Suresh Mane , Vaishali D. Khairnar

In this study, we take a systematic look at the unrealised part of public transport networks (PTNs) with functional connections. We consider their complement graphs and study their structure. The complement graph $\bar G$ of an unweighted…

Physics and Society · Physics 2026-04-24 Tina Šfiligoj , Oded Cats

We provide a survey of recent results on model calibration by Optimal Transport. We present the general framework and then discuss the calibration of local, and local-stochastic, volatility models to European options, the joint VIX/SPX…

Mathematical Finance · Quantitative Finance 2021-07-06 Ivan Guo , Gregoire Loeper , Jan Obloj , Shiyi Wang

OpenStreetMap offers a valuable source of worldwide geospatial data useful to urban researchers. This study uses the OSMnx software to automatically download and analyze 27,000 US street networks from OpenStreetMap at metropolitan,…

Social and Information Networks · Computer Science 2018-08-06 Geoff Boeing

Despite the evident drawbacks, car ownership and usage continue to rise globally, leading to increased pollution and urban sprawl. As alternatives, Active Mobility and Public Transport are promoted for their health, economic, and…

Physics and Society · Physics 2025-11-12 Rafael Prieto-Curiel

Road networks are characterised by several structural and geometric properties. Their topological structure determines partially its hierarchical arrangement, but since these are networks that are spatially situated and, therefore,…

Physics and Society · Physics 2017-01-30 Carlos Molinero , Roberto Murcio , Elsa Arcaute

The article investigates the properties of the occupational mobility network (OMN) in 12 EU countries. Using REFLEX database we construct for each country an empirical OMN that reflects the job movements of the university graduates, during…

Physics and Society · Physics 2013-06-25 Eliza-Olivia Lungu , Ana-Maria Zamfir , Cristina Mocanu

Urban transportation systems grow over time as city populations grow and move and their transportation needs evolve. Typical network growth models, such as preferential attachment, grow the network node by node whereas rail and metro…

Physics and Society · Physics 2012-02-16 Daniel E. Whitney

Motivated by the growing number of mobile devices capable of connecting and exchanging messages, we propose a methodology aiming to model and analyze node mobility in networks. We note that many existing solutions in the literature rely on…

Networking and Internet Architecture · Computer Science 2021-11-12 Matheus F. C. Barros , Carlos H. G. Ferreira , Bruno Pereira dos Santos , Lourenço A. P. Júnior , Marco Mellia , Jussara M. Almeida