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This note recapitulates an algorithmic observation for ordered Depth-First Search (DFS) in directed graphs that immediately leads to a parallel algorithm with linear speed-up for a range of processors for non-sparse graphs. The note extends…

Data Structures and Algorithms · Computer Science 2013-11-13 Jesper Larsson Träff

One of the most fundamental problems in computer science is the reachability problem: Given a directed graph and two vertices s and t, can s reach t via a path? We revisit existing techniques and combine them with new approaches to support…

Data Structures and Algorithms · Computer Science 2021-02-02 Kathrin Hanauer , Christian Schulz , Jonathan Trummer

An effective way to reduce clutter in a graph drawing that has (many) crossings is to group edges that travel in parallel into \emph{bundles}. Each edge can participate in many such bundles. Any crossing in this bundled graph occurs between…

Computational Geometry · Computer Science 2022-09-23 Steven Chaplick , Thomas C. van Dijk , Myroslav Kryven , Ji-won Park , Alexander Ravsky , Alexander Wolff

Dynamic race detection is the problem of determining if an observed program execution reveals the presence of a data race in a program. The classical approach to solving this problem is to detect if there is a pair of conflicting memory…

Programming Languages · Computer Science 2018-08-02 Umang Mathur , Dileep Kini , Mahesh Viswanathan

When solving the Hamiltonian path problem it seems natural to be given additional precedence constraints for the order in which the vertices are visited. For example one could decide whether a Hamiltonian path exists for a fixed starting…

Discrete Mathematics · Computer Science 2025-02-28 Jesse Beisegel , Fabienne Ratajczak , Robert Scheffler

Trajectory planning is challenging for autonomous cars since they operate in unpredictable environments with limited sensor horizons. To incorporate new information as it is sensed, planning is done in a loop, with the next plan being…

Systems and Control · Computer Science 2019-02-07 Sean Vaskov , Utkarsh Sharma , Shreyas Kousik , Matthew Johnson-Roberson , Ramanarayan Vasudevan

This paper studies the optimality of the Follow-the-Perturbed-Leader (FTPL) policy in both adversarial and stochastic $K$-armed bandits. Despite the widespread use of the Follow-the-Regularized-Leader (FTRL) framework with various choices…

Machine Learning · Statistics 2024-03-11 Jongyeong Lee , Junya Honda , Shinji Ito , Min-hwan Oh

The graph burning problem is an NP-hard combinatorial optimization problem that helps quantify the vulnerability of a graph to contagion. This paper introduces a simple farthest-first traversal-based approximation algorithm for this problem…

Turn-By-Turn (TBT) betatron oscillation data is a very powerful tool in studying machine optics. Hundreds and thousands of turns of free oscillations are taken in just few tens of milliseconds. With beam covering all positions and angles at…

Accelerator Physics · Physics 2012-08-14 M. J. Yang

A successive vertex ordering of a graph is a linear ordering of its vertices in which every vertex except the first has at least one neighbour appearing earlier. Such orderings arise naturally in incremental growth and…

Combinatorics · Mathematics 2026-04-10 Prarthana Agrawal , Abdurrahman Hadi Erturk , Ard Louis

Flight Trajectory Prediction (FTP) is an essential task in Air Traffic Control (ATC), which can assist air traffic controllers in managing airspace more safely and efficiently. Existing approaches generally perform multi-horizon FTP tasks…

Machine Learning · Computer Science 2024-06-25 Dongyue Guo , Zheng Zhang , Zhen Yan , Jianwei Zhang , Yi Lin

Corporations today face increasing demands for the timely and effective delivery of customer service. This creates the need for a robust and accurate automated solution to what is formally known as the ticket routing problem. This task is…

Artificial Intelligence · Computer Science 2020-03-03 Jianglei Han , Jing Li , Aixin Sun

Probabilistic breadth-first traversals (BPTs) are used in many network science and graph machine learning applications. In this paper, we are motivated by the application of BPTs in stochastic diffusion-based graph problems such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-21 Reece Neff , Mostafa Eghbali Zarch , Marco Minutoli , Mahantesh Halappanavar , Antonino Tumeo , Ananth Kalyanaraman , Michela Becchi

A novel random access (RA) scheme for mixed URLLC-mMTC traffic scenario is proposed using realistic statistical models, with the use mode presenting long-term traffic regularity. The traffic is predicted by a long short-term memory neural…

Signal Processing · Electrical Eng. & Systems 2023-05-12 Herman L. dos Santos , José Carlos Marinello , Cristiano Magalhaes Panazio , Taufik Abrão

The presented study elaborates a multi-server priority queueing model considering the pre-emptive repeat policy and phase-type distribution (PH) for retrial process. The incoming heterogeneous calls are categorized as handoff calls and new…

Optimization and Control · Mathematics 2021-08-03 Raina Raj , Vidyottama Jain

Real-time, guaranteed safe trajectory planning is vital for navigation in unknown environments. However, real-time navigation algorithms typically sacrifice robustness for computation speed. Alternatively, provably safe trajectory planning…

Robotics · Computer Science 2021-03-16 Mo Chen , Sylvia L. Herbert , Haimin Hu , Ye Pu , Jaime F. Fisac , Somil Bansal , SooJean Han , Claire J. Tomlin

List Accessing Problem is a well studied research problem in the context of linear search. Input to the list accessing problem is an unsorted linear list of distinct elements along with a sequence of requests, where each request is an…

Data Structures and Algorithms · Computer Science 2015-05-30 Rakesh Mohanty , Burle Sharma , Sasmita Tripathy

This paper addresses the target-pursuit problem, aiming to ensure each pursuer's safety regarding collision avoidance, sensing range, and input saturation. An input-constrained CBF is proposed to dynamically regulate the pursuer's control,…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Yaosheng Deng , Junjie Gao , Jiaping Xiao , Mir Feroskhan

Fixed-parameter tractable (FPT) algorithms have been successfully applied to many intractable problems -- with a focus on decision and optimization problems. Their aim is to confine the exponential explosion to some parameter, while the…

Computational Complexity · Computer Science 2026-01-08 Nadia Creignou , Timo Camillo Merkl , Reinhard Pichler , Daniel Unterberger

We study a novel graph path planning problem for multiple agents that may crash at runtime, and block part of the workspace. In our setting, agents can detect neighboring crashed agents, and change followed paths at runtime. The objective…

Robotics · Computer Science 2022-11-28 Keisuke Okumura , Sébastien Tixeuil