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The push-relabel algorithm is an efficient algorithm that solves the maximum flow/ minimum cut problems of its affinity to parallelization. As the size of graphs grows exponentially, researchers have used Graphics Processing Units (GPUs) to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-02 Chou-Ying Hsieh , Po-Chieh Lin , Sy-Yen Kuo

We present two new algorithms for solving the {\em All Pairs Shortest Paths} (APSP) problem for weighted directed graphs. Both algorithms use fast matrix multiplication algorithms. The first algorithm solves the APSP problem for weighted…

Data Structures and Algorithms · Computer Science 2007-05-23 Uri Zwick

Learning-based path planning is becoming a promising robot navigation methodology due to its adaptability to various environments. However, the expensive computing and storage associated with networks impose significant challenges for their…

Robotics · Computer Science 2023-07-21 Jinsong Li , Shaochen Wang , Ziyang Chen , Zhen Kan , Jun Yu

ANNS for embedded vector representations of texts is commonly used in information retrieval, with two important information representations being sparse and dense vectors. While it has been shown that combining these representations…

Information Retrieval · Computer Science 2024-10-29 Haoyu Zhang , Jun Liu , Zhenhua Zhu , Shulin Zeng , Maojia Sheng , Tao Yang , Guohao Dai , Yu Wang

We propose a convex-concave programming approach for the labeled weighted graph matching problem. The convex-concave programming formulation is obtained by rewriting the weighted graph matching problem as a least-square problem on the set…

Computer Vision and Pattern Recognition · Computer Science 2008-10-27 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

The Resource-Constrained Project Scheduling Problem (RCPSP) is a classical scheduling problem that has received significant attention due to of its numerous applications in industry. However, in practice, task durations are subject to…

Artificial Intelligence · Computer Science 2025-11-18 Guillaume Infantes , Stéphanie Roussel , Antoine Jacquet , Emmanuel Benazera

We consider vehicle-routing problems (VRPs) that incorporate the notion of {\em regret} of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the…

Data Structures and Algorithms · Computer Science 2013-11-26 Zachary Friggstad , Chaitanya Swamy

In this paper, we consider the Delay Constrained Unsplittable Shortest Path Routing problem which arises in the field of traffic engineering for IP networks. This problem consists, given a directed graph and a set of commodities, to compute…

Data Structures and Algorithms · Computer Science 2020-06-09 Amal Benhamiche , Morgan Chopin

Intelligent autonomous path planning is essential for enhancing the exploration efficiency of mobile robots operating in uneven terrains like planetary surfaces and off-road environments.In this paper, we propose the NNPP model for…

Robotics · Computer Science 2024-06-21 Yiming Ji , Yang Liu , Guanghu Xie , Boyu Ma , Zongwu Xie , Baoshi Cao

We design fast deterministic algorithms for distance computation in the congested clique model. Our key contributions include: -- A $(2+\epsilon)$-approximation for all-pairs shortest paths in $O(\log^2{n} / \epsilon)$ rounds on unweighted…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Keren Censor-Hillel , Michal Dory , Janne H. Korhonen , Dean Leitersdorf

Expansion of today's underwater scenarios and missions necessitates the requestion for robust decision making of the Autonomous Underwater Vehicle (AUV); hence, design an efficient decision making framework is essential for maximizing the…

Robotics · Computer Science 2016-12-06 Somaiyeh Mahmoud Zadeh , David M. W Powers , Karl Sammut , Amir Mehdi Yazdani

The Collaborative Task Sequencing and Multi-Agent Path Finding (CTS-MAPF) problem requires agents to accomplish sequences of tasks while avoiding collisions, posing significant challenges due to its combinatorial complexity. This work…

Robotics · Computer Science 2026-03-27 Junkai Jiang , Yitao Xu , Ruochen Li , Shaobing Xu , Jianqiang Wang

We investigate multi-agent navigation tasks, where multiple agents need to reach initially unassigned goals in a limited time. Classical planning-based methods suffer from expensive computation overhead at each step and offer limited…

Machine Learning · Computer Science 2024-12-03 Xinyi Yang , Xinting Yang , Chao Yu , Jiayu Chen , Wenbo Ding , Huazhong Yang , Yu Wang

In this study we consider the shortest path problem, where the arc costs are subject to distributional uncertainty. Basically, the decision-maker attempts to minimize her worst-case expected loss over an ambiguity set (or a family) of…

Optimization and Control · Mathematics 2021-03-16 Sergey S. Ketkov , Oleg A. Prokopyev , Evgenii P. Burashnikov

The Dijkstra algorithm is a classical method for solving the shortest path problem on weighted graphs. There are several variations of the Dijkstra algorithm, including algorithms for the widest path problem and for two-player games. In…

Data Structures and Algorithms · Computer Science 2026-05-22 Takahiro Sanada , Yoàv Montacute , Kittiphon Phalakarn , Ichiro Hasuo

Shortest path (SP) computation is the building block for many location-based services, and achieving high throughput SP query processing with real-time response is crucial for those services. However, existing solutions can hardly handle…

Databases · Computer Science 2025-02-18 Xinjie Zhou , Mengxuan Zhang , Lei Li , Xiaofang Zhou

The quadratic shortest path problem (QSPP) is \textcolor{black}{the problem of finding a path with prespecified start vertex $s$ and end vertex $t$ in a digraph} such that the sum of weights of arcs and the sum of interaction costs over all…

Optimization and Control · Mathematics 2017-11-16 Hao Hu , Renata Sotirov

We consider a constrained shortest path problem with two resources. These two resources can be converted into each other in a particular manner. Our practical application is the energy optimal routing of hybrid vehicles. Due to the…

Discrete Mathematics · Computer Science 2016-01-12 Christian Schwan , Martin Strehler

Bipartite graphs are widely used to model relationships between entities of different types, where nodes are divided into two disjoint sets. Similarity search, a fundamental operation that retrieves nodes similar to a given query node,…

Data Structures and Algorithms · Computer Science 2025-12-15 Xi Ou , Longlong Lin , Zeli Wang , Pingpeng Yuan , Rong-Hua Li

Autonomous agents face the challenge of coordinating multiple tasks (perception, motion planning, controller) which are computationally expensive on a single onboard computer. To utilize the onboard processing capacity optimally, it is…

Robotics · Computer Science 2023-05-09 Aditya Shirwatkar , Aman Singh , Jana Ravi Kiran
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