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We consider the classical single-source shortest path problem in directed weighted graphs. D.~Eppstein proved recently an $\Omega(n^3)$ lower bound for oblivious algorithms that use relaxation operations to update the tentative distances…

Data Structures and Algorithms · Computer Science 2024-11-12 Sunny Atalig , Alexander Hickerson , Arrdya Srivastav , Tingting Zheng , Marek Chrobak

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

The knowledge of end-to-end network distances is essential to many Internet applications. As active probing of all pairwise distances is infeasible in large-scale networks, a natural idea is to measure a few pairs and to predict the other…

Networking and Internet Architecture · Computer Science 2016-11-15 Yongjun Liao , Wei Du , Pierre Geurts , Guy Leduc

Traveling to different destinations is a big part of our lives. We visit a variety of locations both during our daily lives and when we're on vacation. How can we find the best way to navigate from one place to another? Perhaps we can test…

History and Overview · Mathematics 2021-05-10 Teresa Rexin , Mason A. Porter

Efficient solution of the single source shortest path (SSSP) problem on road networks is an important requirement for numerous real-world applications. This paper introduces an algorithm for the SSSP problem using compression method. Owning…

Data Structures and Algorithms · Computer Science 2015-01-13 Jingwei Sun , Guangzhong Sun

Diversity optimization seeks to discover a set of solutions that elicit diverse features. Prior work has proposed Novelty Search (NS), which, given a current set of solutions, seeks to expand the set by finding points in areas of low…

Machine Learning · Computer Science 2024-05-31 David H. Lee , Anishalakshmi V. Palaparthi , Matthew C. Fontaine , Bryon Tjanaka , Stefanos Nikolaidis

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

Optimization and Control · Mathematics 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

This paper presents a novel extended dynamic programming approach for energy minimization (EDP) to solve the correspondence problem for stereo and motion. A significant speedup is achieved using a recursive minimum search strategy (RMS).…

Computer Vision and Pattern Recognition · Computer Science 2014-10-30 Mikhail G. Mozerov

In the rapidly evolving landscape of urban transportation, shared e-mobility services have emerged as a sustainable solution to meet growing demand for flexible, eco-friendly travel. However, the existing literature lacks a comprehensive…

Computational Engineering, Finance, and Science · Computer Science 2024-12-17 Maqsood Hussain Shah , Ji Li , Mingming Liu

Efficient routing is critical for payment channel networks (PCNs) such as the Lightning Network (LN), where most clients currently rely on Dijkstra-based algorithms for payment pathfinding. While Dijkstra's algorithm has long been regarded…

Performance · Computer Science 2025-09-18 Danila Valko , Rohan Paranjpe , Jorge Marx Gómez

The Multiobjective Minimum Spanning Tree (MO-MST) problem is a variant of the Minimum Spanning Tree problem, in which the costs associated with every edge of the input graph are vectors. In this paper, we design a new dynamic programming…

Discrete Mathematics · Computer Science 2023-06-29 Pedro Maristany de las Casas , Antonio Sedeño-Noda , Ralf Borndörfer

We present the generic Dijkstra shortest path algorithm: an efficient algorithm for finding a shortest path in an optical network, both in a wavelength-division multiplexed network, and an elastic optical network (EON). The proposed…

Networking and Internet Architecture · Computer Science 2020-01-08 Ireneusz Szcześniak , Andrzej Jajszczyk , Bożena Woźna-Szcześniak

In this work, we consider the asynchronous distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology…

Optimization and Control · Mathematics 2021-04-27 Wei Jiang , Andreas Grammenos , Evangelia Kalyvianaki , Themistoklis Charalambous

The calculation of shortest-path distances in road networks is a core operation in navigation systems, location-based services, and spatial analytics. Although classical algorithms, e.g., Dijkstra's algorithm, provide exact answers, their…

Machine Learning · Computer Science 2026-02-05 Gautam Choudhary , Libin Zhou , Yeasir Rayhan , Walid G. Aref

Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and…

Optimization and Control · Mathematics 2021-05-10 S. Tavares , C. P. Brás , A. L. Custódio , V. Duarte , P. Medeiros

Given a public transportation network, which and how many passenger routes can potentially be shortest paths, when all possible timetables are taken into account? This question leads to shortest path problems on graphs with interval costs…

Optimization and Control · Mathematics 2024-12-23 Berenike Masing , Niels Lindner , Enrico Bortoletto

We describe a novel approach for computing collision-free \emph{global} trajectories for $p$ agents with specified initial and final configurations, based on an improved version of the alternating direction method of multipliers (ADMM).…

Artificial Intelligence · Computer Science 2013-11-19 Jose Bento , Nate Derbinsky , Javier Alonso-Mora , Jonathan Yedidia

Subgraph matching is a core task in graph analytics, widely used in domains such as biology, finance, and social networks. Existing top-k diversified methods typically focus on maximizing vertex coverage, but often return results in the…

Databases · Computer Science 2025-11-25 Liuyi Chen , Yuchen Hu , Zhengyi Yang , Xu Zhou , Wenjie Zhang , Kenli Li

The volume of image repositories continues to grow. Despite the availability of content-based addressing, we still lack a lightweight tool that allows us to discover images of distinct characteristics from a large collection. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-15 Shanfeng Hu

We propose an Adagrad-like algorithm for multi-objective unconstrained optimization that relies on the computation of a common descent direction only. Unlike classical local algorithms for multi-objective optimization, our approach does not…

Optimization and Control · Mathematics 2026-02-06 Marianna De Santis , Gabriele Eichfelder , Margherita Porcelli