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Deterministic equilibrium flows in transport networks can be investigated by means of Markov's processes defined on the dual graph representations of the network. Sustained movement patterns are generated by a subset of automorphisms of the…

物理与社会 · 物理学 2007-10-30 D. Volchenkov , Ph. Blanchard

Interaction networks, consisting of agents linked by their interactions, are ubiquitous across many disciplines of modern science. Many methods of analysis of interaction networks have been proposed, mainly concentrating on node degree…

分子网络 · 定量生物学 2011-12-20 Aleksandar Stojmirović , Yi-Kuo Yu

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

物理与社会 · 物理学 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

系统与控制 · 电气工程与系统科学 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

We propose a macroscopic traffic network flow model suitable for analysis as a dynamical system, and we qualitatively analyze equilibrium flows as well as convergence. Flows at a junction are determined by downstream supply of capacity as…

系统与控制 · 计算机科学 2015-05-25 Samuel Coogan , Murat Arcak

Random walks on networks are widely used to model stochastic processes such as search strategies, transportation problems or disease propagation. A prominent example of such process is the guiding of naive T cells by the lymph node conduits…

社会与信息网络 · 计算机科学 2022-10-21 Solène Song , Malek Senoussi , Paul Escande , Paul Villoutreix

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

元胞自动机与格子气 · 物理学 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

Efficient techniques to navigate networks with local information are fundamental to sample large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased random walks, i.e. walks whose motion is biased on…

物理与社会 · 物理学 2016-06-29 Federico Battiston , Vincenzo Nicosia , Vito Latora

We represent transport between different regions of a fluid domain by flow networks, constructed from the discrete representation of the Perron-Frobenius or transfer operator associated to the fluid advection dynamics. The procedure is…

大气与海洋物理 · 物理学 2015-03-06 Enrico Ser-Giacomi , Vincent Rossi , Cristobal Lopez , Emilio Hernandez-Garcia

Random graph (RG) models play a central role in the complex networks analysis. They help to understand, control, and predict phenomena occurring, for instance, in social networks, biological networks, the Internet, etc. Despite a large…

社会与信息网络 · 计算机科学 2024-03-22 Mikhail Drobyshevskiy , Denis Turdakov

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

物理与社会 · 物理学 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

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…

网络与互联网体系结构 · 计算机科学 2020-08-05 Jingjing Wang , Chunxiao Jiang , Longxiang Gao , Shui Yu , Zhu Han , Yong Ren

The work presented in this thesis concerns different aspects of dynamical processes on networks. The first subject considered is the theoretical modeling of exploration processes of complex networks, such as the ``traceroute'' process used…

物理与社会 · 物理学 2007-05-23 Luca Dall'Asta

Complex network theory is being widely used to study many real-life systems. One of the fields that can benefit from complex network theory approach is transportation network. In this paper, we briefly review the complex network theory…

物理与社会 · 物理学 2023-08-10 Nur Umaisara Rashid , Kar Tim Chan

We propose a random walks based model to generate complex networks. Many authors studied and developed different methods and tools to analyze complex networks by random walk processes. Just to cite a few, random walks have been adopted to…

物理与社会 · 物理学 2015-06-19 Marco Alberto Javarone

Paths are important structural elements in complex networks because they are finite (unlike walks), related to effective node coverage (minimum spanning trees), and can be understood as being dual to star connectivity. This article…

物理与社会 · 物理学 2007-12-05 Luciano da Fontoura Costa

Urban socioeconomic modeling has predominantly concentrated on extensive location and neighborhood-based features, relying on the localized population footprint. However, networks in urban systems are common, and many urban modeling methods…

机器学习 · 计算机科学 2025-07-08 Devashish Khulbe , Alexander Belyi , Stanislav Sobolevsky

We introduce a new approach to model and analyze \emph{Mobility}. It is fully based on discrete mathematics and yields a class of mobility models, called the \emph{Markov Trace} Model. This model can be seen as the discrete version of the…

离散数学 · 计算机科学 2010-02-05 Andrea Clementi , Angelo Monti , Riccardo Silvestri

Transport in crowded, complex environments occurs across many spatial scales. Geometric restrictions can hinder the motion of individuals and, combined with crowding between individuals, can have drastic effects on global transport…

物理与社会 · 物理学 2021-08-11 Daniel B. Wilson , Francis G. Woodhouse , Matthew J. Simpson , Ruth E. Baker

A non-local model describing the growth of a tree-like transportation network with given allocation rules is proposed. In this model we focus on tree like networks, and the network transports the very resource it needs to build itself. Some…

适应与自组织系统 · 物理学 2019-07-24 Olivier Bui , Xavier Leoncini