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Can we learn how to explore unknown spaces efficiently? To answer this question, we study the problem of Online Graph Exploration, the online version of the Traveling Salesperson Problem. We reformulate graph exploration as a reinforcement…

Machine Learning · Computer Science 2021-04-07 Ioannis Chiotellis , Daniel Cremers

We study the complexity of the Distributed Constraint Satisfaction Problem (DCSP) on a synchronous, anonymous network from a theoretical standpoint. In this setting, variables and constraints are controlled by agents which communicate with…

Data Structures and Algorithms · Computer Science 2021-01-25 Silvia Butti , Victor Dalmau

Metric data plays an important role in various settings such as metric-based indexing, clustering, classification, and approximation algorithms in general. Due to measurement error, noise, or an inability to completely gather all the data,…

Computational Geometry · Computer Science 2018-07-24 Chenglin Fan , Benjamin Raichel , Gregory Van Buskirk

We consider parameterized verification problems for networks of timed automata (TAs) based on different communication primitives. To this end, we first consider disjunctive timed networks (DTNs), i.e., networks of TAs that communicate via…

Formal Languages and Automata Theory · Computer Science 2025-10-13 Étienne André , Swen Jacobs , Shyam Lal Karra , Ocan Sankur

We consider travel time tomography problems involving detection of high contrast, discrete high velocity structures. This results in a discrete nonlinear inverse problem, for which traditional grid-based models and iterative linearized…

Data Analysis, Statistics and Probability · Physics 2017-07-07 Yenting Lin , Antonio Ortega

Inspired by research in psychology, we introduce a behavioral approach for visual navigation using topological maps. Our goal is to enable a robot to navigate from one location to another, relying only on its visual input and the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-04 Kevin Chen , Juan Pablo de Vicente , Gabriel Sepulveda , Fei Xia , Alvaro Soto , Marynel Vazquez , Silvio Savarese

We develop an asymptotic approximation and bounds for the traveling salesman problem with time slots, i.e. when the time windows of points to visit are a partition of a given time horizon. Although this problem is relevant in several…

Optimization and Control · Mathematics 2023-03-27 Omar Rifki , Thierry Garaix

We present a general approach to study the flooding time (a measure of how fast information spreads) in dynamic graphs (graphs whose topology changes with time according to a random process). We consider arbitrary converging Markovian…

Discrete Mathematics · Computer Science 2015-03-19 Andrea Clementi , Riccardo Silvestri , Luca Trevisan

We consider a decision-making problem where the environment varies both in space and time. Such problems arise naturally when considering e.g., the navigation of an underwater robot amidst ocean currents or the navigation of an aerial…

Robotics · Computer Science 2019-01-10 Lantao Liu , Gaurav S. Sukhatme

A temporal graph is a finite sequence of graphs, called snapshots, over the same vertex set. Many temporal graph problems turn out to be much more difficult than their static counterparts. One such problem is \textsc{Timeline Vertex Cover}…

Data Structures and Algorithms · Computer Science 2025-10-10 Anton Herrmann , Christian Komusiewicz , Nils Morawietz , Frank Sommer

Our digital world is full of time series and graphs which capture the various aspects of many complex systems. Traditionally, there are respective methods in processing these two different types of data, e.g., Recurrent Neural Network (RNN)…

Machine Learning · Computer Science 2021-06-17 Qi Xuan , Kunfeng Qiu , Jinchao Zhou , Zhuangzhi Chen , Dongwei Xu , Shilian Zheng , Xiaoniu Yang

We present the Temporal Graph Benchmark (TGB), a collection of challenging and diverse benchmark datasets for realistic, reproducible, and robust evaluation of machine learning models on temporal graphs. TGB datasets are of large scale,…

We study several problems of clearing subgraphs by mobile agents in digraphs. The agents can move only along directed walks of a digraph and, depending on the variant, their initial positions may be pre-specified. In general, for a given…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Andrzej Lingas , Dorota Osula , Mia Persson , Pawel Zylinski

Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

Machine Learning · Computer Science 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

Multi-Agent Path Finding (MAPF) requires computing collision-free paths for multiple agents in shared environment. Most MAPF planners assume that each agent reaches a specific location at a specific timestep, but this is infeasible to…

Multiagent Systems · Computer Science 2025-08-08 Yifan Su , Rishi Veerapaneni , Jiaoyang Li

Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Naveed ur Rehman

The Vehicle Routing Problem with Time-Windows (VRPTW) is an important problem in allocating resources on networks in time and space. We present in this paper a Deterministic Annealing (DA)-based approach to solving the VRPTW with its…

Optimization and Control · Mathematics 2016-04-14 Mayank Baranwal , Pratik M. Parekh , Lavanya Marla , Srinivasa M. Salapaka , Carolyn L. Beck

This work proposes a novel hybrid approach for vision-only navigation of mobile robots, which combines advances of both deep learning approaches and classical model-based planning algorithms. Today, purely data-driven end-to-end models are…

Robotics · Computer Science 2025-07-29 Sergey Bakulin , Timur Akhtyamov , Denis Fatykhov , German Devchich , Gonzalo Ferrer

The Canadian traveler problem (CTP) is the problem of traversing a given graph, where some of the edges may be blocked - a state which is revealed only upon reaching an incident vertex. Originally stated by Papadimitriou and Yannakakis…

Computational Complexity · Computer Science 2012-07-20 Dror Fried , Solomon Eyal Shimony , Amit Benbassat , Cenny Wenner

While the increasing number of Vantage Points (VPs) in RIPE RIS and RouteViews improves our understanding of the Internet, the quadratically increasing volume of collected data poses a challenge to the scientific and operational use of the…

Networking and Internet Architecture · Computer Science 2024-05-24 Thomas Alfroy , Thomas Holterbach , Thomas Krenc , KC Claffy , Cristel Pelsser
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