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Graph-structured data is central to many scientific and industrial domains, where the goal is often to optimize objectives defined over graph structures. Given the combinatorial complexity of graph spaces, such optimization problems are…

Optimization and Control · Mathematics 2025-09-25 Shiqiang Zhang , Ruth Misener

Extreme value theory (EVT) has been utilized to estimate crash risk from traffic conflicts with the peak over threshold approach. However, it's challenging to determine a suitable threshold to distinguish extreme conflicts in an objective…

Other Statistics · Statistics 2025-12-30 Quansheng Yue , Yanyong Guo , Tarek Sayed , Lai Zheng , Hao Lyu , Pan Liu

Following previous theoretical work by Srinivasan (FOCS 2001) and the first author (STACS 2006) and a first experimental evaluation on random instances (ALENEX 2009), we investigate how the recently developed different approaches to…

Data Structures and Algorithms · Computer Science 2010-07-05 Benjamin Doerr , Marvin Künnemann , Magnus Wahlström

Landmarks are one of the most effective search heuristics for classical planning, but largely ignored in generalized planning. Generalized planning (GP) is usually addressed as a combinatorial search in a given space of algorithmic…

Artificial Intelligence · Computer Science 2022-05-11 Javier Segovia-Aguas , Sergio Jiménez , Anders Jonsson , Laura Sebastiá

We study conditions under which a given hypergraph is randomly robust Hamiltonian, which means that a random sparsification of the host graph contains a Hamilton cycle with high probability. Our main contribution provides nearly optimal…

Combinatorics · Mathematics 2024-12-31 Felix Joos , Richard Lang , Nicolás Sanhueza-Matamala

Most consumer-level low-cost unmanned aerial vehicles (UAVs) have limited battery power and long charging time. Due to these energy constraints, they cannot accomplish many practical tasks, such as monitoring a sport or political event for…

Robotics · Computer Science 2021-01-27 Jyh-Ming Lien , Sam Rodriguez , Marco Morales

Practical global path planning is critical for commercializing cleaning robots working in semi-structured environments. In the literature, global path planning methods for free space usually focus on path length and neglect the traffic rule…

Robotics · Computer Science 2025-11-18 Yong Li , Hui Cheng

Ride-pooling has become an important service option offered by ride-hailing platforms as it serves multiple trip requests in a single ride. By leveraging customer data, connected vehicles, and efficient assignment algorithms, ride-pooling…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Alexander Sundt , Qi Luo , John Vincent , Mehrdad Shahabi , Yafeng Yin

Vertex Separation Minimization Problem (VSMP) consists of finding a layout of a graph G = (V,E) which minimizes the maximum vertex cut or separation of a layout. It is an NP-complete problem in general for which metaheuristic techniques can…

Data Structures and Algorithms · Computer Science 2017-02-21 Pallavi Jain , Gur Saran , Kamal Srivastava

We consider the problem of finding a Hamiltonian path or cycle with precedence constraints in the form of a partial order on the vertex set. We study the complexity for graph width parameters for which the ordinary problems…

Discrete Mathematics · Computer Science 2025-10-10 Jesse Beisegel , Katharina Klost , Kristin Knorr , Fabienne Ratajczak , Robert Scheffler

Graph-based multi-robot path planning (MRPP) is NP-hard to optimally solve. In this work, we propose the first low polynomial-time algorithm for MRPP achieving 1--1.5 asymptotic optimality guarantees on makespan for random instances under…

Robotics · Computer Science 2022-06-01 Teng Guo , Jingjin Yu

Shortest path search is a core operation in graph-based applications, yet existing methods face important limitations. Classical algorithms such as Dijkstra's and A* become inefficient as graphs grow more complex, while index-based…

Machine Learning · Computer Science 2025-08-05 Tiantian Liu , Xiao Li , Huan Li , Hua Lu , Christian S. Jensen , Jianliang Xu

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

Coverage analysis is essential for validating the safety of autonomous driving systems, yet existing approaches typically assess coverage factors individually or in limited combinations, struggling to capture the complex interactions…

Methodology · Statistics 2026-02-03 Thomas Muehlenstädt , Marius Bause

Navigation of a team of autonomous underwater vehicles (AUVs) coordinated by an unmanned surface vehicle (USV) is efficient and reliable for deep ocean exploration. AUVs depart from and return to the USV after collaborative navigation, data…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Mohsen Eskandari , Andrey V. Savkin , Mohammad Deghat

This paper presents a pipeline that combines high-resolution orthomosaic maps generated from UAS imagery with GPS-based global navigation to guide a skid-steered ground robot. We evaluated three path planning strategies: A* Graph search,…

Robotics · Computer Science 2025-03-12 Ruiji Liu , Abigail Breitfeld , Srinivasan Vijayarangan , George Kantor , Francisco Yandun

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

Optimization and Control · Mathematics 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

To be applicable to real world scenarios trajectory planning schemes for mobile autonomous systems must be able to efficiently deal with obstacles in the area of operation. In the context of optimization based trajectory planning and…

Optimization and Control · Mathematics 2021-04-27 Max Lutz , Thomas Meurer

Finding the optimal embedding of networks into low-dimensional hyperbolic spaces is a challenge that received considerable interest in recent years, with several different approaches proposed in the literature. In general, these methods…

Physics and Society · Physics 2024-01-08 Bendegúz Sulyok , Gergely Palla

The problem of finding a path between two points while avoiding obstacles is critical in robotic path planning. We focus on the feasibility problem: determining whether such a path exists. We model the robot as a query-specific rectangular…

Computational Geometry · Computer Science 2025-04-16 Alex Fan , Alicia Li , Arul Kolla , Jason Gonzalez
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