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Graph colouring is a combinatorial optimisation problem with applications in several important domains, including sports scheduling, cartography, street map navigation, and timetabling. It is also of significant theoretical interest and a…

History and Overview · Mathematics 2026-02-23 Rhyd Lewis

This paper outlines the ideas behind developing a graph-based heuristic-driven routing algorithm designed for a particular instance of a goods transportation problem with a single good type. The proposed algorithm solves the optimization…

Artificial Intelligence · Computer Science 2021-02-16 Mikhail Shchukin , Aymen Ben Said , Andre Lobo Teixeira

A unifying graph theoretic framework for the modelling of metro transportation networks is proposed. This is achieved by first introducing a basic graph framework for the modelling of the London underground system from a diffusion law point…

Machine Learning · Computer Science 2021-05-12 Bruno Scalzo Dees , Yao Lei Xu , Anthony G. Constantinides , Danilo P. Mandic

Congestion in transport networks is a topic of theoretical interest and practical importance. In this paper we study the flow of vehicles in urban street networks. In particular, we use a cellular automata model to simulate the motion of…

Physics and Society · Physics 2010-12-16 Salvatore Scellato , Luigi Fortuna , Mattia Frasca , Jesús Gómez-Gardeñes , Vito Latora

Understanding the dynamics of traffic clusters is crucial for enhancing urban transportation systems, particularly in managing congestion and free-flow states. This study applies computational percolation theory to analyze the formation and…

Physics and Society · Physics 2025-07-30 Yongsung Kwon , Minjin Lee , Mi Jin Lee , Seung-Woo Son

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

For automated driving, predicting the future trajectories of other road users in complex traffic situations is a hard problem. Modern neural networks use the past trajectories of traffic participants as well as map data to gather hints…

Robotics · Computer Science 2024-02-12 Jan Strohbeck , Sebastian Maschke , Max Mertens , Michael Buchholz

Urban mobility forecast and analysis can be addressed through grid-based and graph-based models. However, graph-based representations have the advantage of more realistically depicting the mobility networks and being more robust since they…

Discrete Mathematics · Computer Science 2023-10-11 Rafael Martínez Márquez , Giuseppe Patanè

This paper proposes a graph-based approach to representing spatio-temporal trajectory data that allows an effective visualization and characterization of city-wide traffic dynamics. With the advance of sensor, mobile, and Internet of Things…

Machine Learning · Computer Science 2022-12-07 Jiwon Kim , Kai Zheng , Jonathan Corcoran , Sanghyung Ahn , Marty Papamanolis

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

Optimization and Control · Mathematics 2020-02-25 Yicheng Zhang

Human mobility analysis at urban-scale requires models to represent the complex nature of human movements, which in turn are affected by accessibility to nearby points of interest, underlying socioeconomic factors of a place, and local…

Social and Information Networks · Computer Science 2025-04-07 Sinjini Mitra , Anuj Srivastava , Avipsa Roy , Pavan Turaga

In this paper we consider several problems concerning packet routing in distributed systems. Each problem is formulated using terms from Graph Theory and for each problem we present efficient, novel, algorithmic techniques for computing…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Nicolae Tapus

Given a set of basic areas, the territory design problem asks to create a predefined number of territories, each containing at least one basic area, such that an objective function is optimized. Desired properties of territories often…

Optimization and Control · Mathematics 2015-05-06 Nitin Ahuja , Matthias Bender , Peter Sanders , Christian Schulz , Andreas Wagner

The rapid urbanization and increasing traffic have serious social, economic, and environmental impact on metropolitan areas worldwide. It is of a great importance to understand the complex interplay of road networks and traffic conditions.…

Other Computer Science · Computer Science 2018-10-31 Weizi Li , Meilei Jiang , Yaoyu Chen , Ming C. Lin

In recent years, various deep learning architectures have been proposed to solve complex challenges (e.g. spatial dependency, temporal dependency) in traffic domain, which have achieved satisfactory performance. These architectures are…

Signal Processing · Electrical Eng. & Systems 2021-01-01 Jiexia Ye , Juanjuan Zhao , Kejiang Ye , Chengzhong Xu

We define a graph-based rate optimization problem and consider its computation, which provides a unified approach to the computation of various theoretical limits, including the (conditional) graph entropy, rate-distortion functions and…

Information Theory · Computer Science 2025-03-18 Deheng Yuan , Tao Guo , Zhongyi Huang , Shi Jin

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

Urban traffic regulation policies are increasingly used to address congestion, emissions, and accessibility in cities, yet their impacts are difficult to assess due to the socio-technical complexity of urban mobility systems. Recent…

Computers and Society · Computer Science 2026-03-13 Arianna Burzacchi , Marco Pistore

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…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

Traffic congestion is one of the most notable problems arising in worldwide urban areas, importantly compromising human mobility and air quality. Current technologies to sense real-time data about cities, and its open distribution for…

Physics and Society · Physics 2016-12-30 Albert Solé-Ribalta , Sergio Gómez , Alex Arenas