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When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

Delay Tolerant Networking (DTN) aims to address a myriad of significant networking challenges that appear in time-varying settings, such as mobile and satellite networks, wherein changes in network topology are frequent and often subject to…

Data Structures and Algorithms · Computer Science 2024-12-18 Matt Piekenbrock

This work studies certain aspects of graphs embedded on surfaces. Initially, a colored graph model for a map of a graph on a surface is developed. Then, a concept analogous to (and extending) planar graph is introduced in the same spirit as…

Combinatorics · Mathematics 2007-05-23 Sostenes Lins

Landmarks have long played a pivotal role in automated planning, serving as crucial elements for improving the planning algorithms. The main limitation of classical landmark extraction methods is their sensitivity to specific planning…

Artificial Intelligence · Computer Science 2025-09-23 Cristian Pérez-Corral , Antonio Garrido , Laura Sebastia

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

We study the complexity of fundamental distributed graph problems in the recently popular setting where information about the input graph is available to the nodes before the start of the computation. We focus on the most common such…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Alkida Balliu , Thomas Boudier , Sebastian Brandt , Dennis Olivetti

Partial graph matching extends traditional graph matching by allowing some nodes to remain unmatched, enabling applications in more complex scenarios. However, this flexibility introduces additional complexity, as both the subset of nodes…

Machine Learning · Computer Science 2026-02-26 Gathika Ratnayaka , James Nichols , Qing Wang

Many computational problems admit fast algorithms on special inputs, however, the required properties might be quite restrictive. E.g., many graph problems can be solved much faster on interval or cographs, or on graphs of small…

Data Structures and Algorithms · Computer Science 2022-09-30 Stefan Kratsch , Florian Nelles

Modern methods of graph theory describe a graph up to isomorphism, which makes it difficult to create mathematical models for visualizing graph drawings on a plane. The topological drawing of the planar part of a graph allows representing…

Combinatorics · Mathematics 2024-08-01 Sergey Kurapov , Maxim Davidovsky

Road network graphs provide critical information for autonomous-vehicle applications, such as drivable areas that can be used for motion planning algorithms. To find road network graphs, manually annotation is usually inefficient and…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Zhenhua Xu , Yuxuan Liu , Lu Gan , Yuxiang Sun , Xinyu Wu , Ming Liu , Lujia Wang

The identification of structuring effects of transportation infrastructure on territorial dynamics remains an open research problem. This issue is one of the aspects of approaches on complexity of territorial dynamics, within which…

Physics and Society · Physics 2022-09-05 Juste Raimbault

Interconnected road lanes are a central concept for navigating urban roads. Currently, most autonomous vehicles rely on preconstructed lane maps as designing an algorithmic model is difficult. However, the generation and maintenance of such…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Robin Karlsson , David Robert Wong , Simon Thompson , Kazuya Takeda

Two fundamental algorithm-design paradigms are Tree Search and Dynamic Programming. The techniques used therein have been shown to complement one another when solving the complete set partitioning problem, also known as the coalition…

Multiagent Systems · Computer Science 2018-08-24 Talal Rahwan , Tomasz P. Michalak

In this paper we consider the problem of optimizing the ecological connectivity of a landscape under a budget constraint by improving habitat areas and ecological corridors between them. We consider a formulation of this problem in terms of…

Data Structures and Algorithms · Computer Science 2022-04-14 François Hamonic , Cécile Albert , Basile Couëtoux , Yann Vaxès

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

Accurately predicting road networks from satellite images requires a global understanding of the network topology. We propose to capture such high-level information by introducing a graph-based framework that simulates the addition of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Sotiris Anagnostidis , Aurelien Lucchi , Thomas Hofmann

In the context of multi-domain network slices, multiple domains need to work together to provide a service. The problem of determining which part of the service fits within which domain is referred to as slice partitioning. The partitioning…

Networking and Internet Architecture · Computer Science 2024-08-29 Zhouxiang Wu , Genya Ishigaki , Riti Gour , Congzhou Li , Divya Khanure , Jason P. Jue

Street intersection counts and densities are ubiquitous measures in transport geography and planning. However, typical street network data and typical street network analysis tools can substantially overcount them. This article explains the…

Physics and Society · Physics 2025-05-01 Geoff Boeing

In this work, we introduce the problem of scenic routes among points in Rd. The key development is the nature of the problem in terms of both defining the concept of scenic points and scenic routes and then coming up with algorithms that…

Computational Geometry · Computer Science 2023-06-27 Kamalakar Karlapalem