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Given a set of points in the Euclidean plane, the Euclidean \textit{$\delta$-minimum spanning tree} ($\delta$-MST) problem is the problem of finding a spanning tree with maximum degree no more than $\delta$ for the set of points such the…

Combinatorics · Mathematics 2018-09-26 Patrick J. Andersen , Charl J. Ras

This paper presents a new method for finding the node-disjoint paths with maximum combined bandwidth in communication networks. This problem is an NP-complete problem which can be optimally solved in exponential time using integer linear…

Networking and Internet Architecture · Computer Science 2013-05-07 Mostafa H. Dahshan

A $(\beta,\epsilon)$-hopset for a weighted undirected $n$-vertex graph $G=(V,E)$ is a set of edges, whose addition to the graph guarantees that every pair of vertices has a path between them that contains at most $\beta$ edges, whose length…

Data Structures and Algorithms · Computer Science 2016-05-17 Michael Elkin , Ofer Neiman

When traveling through a graph with an accessible deterministic path to a target, is it ever preferable to resort to stochastic node-to-node transitions instead? And if so, what are the conditions guaranteeing that such a stochastic optimal…

Optimization and Control · Mathematics 2025-01-13 Mallory E. Gaspard , Alexander Vladimirsky

Freight consolidation has significant potential to reduce transportation costs and mitigate congestion and pollution. An effective load consolidation plan relies on carefully chosen consolidation points to ensure alignment with existing…

Machine Learning · Computer Science 2025-04-15 Sikai Cheng , Amira Hijazi , Jeren Konak , Alan Erera , Pascal Van Hentenryck

This paper describes a new approach on optimization of constraint satisfaction problems (CSPs) by means of substituting sub-CSPs with locally consistent regular membership constraints. The purpose of this approach is to reduce the number of…

Artificial Intelligence · Computer Science 2019-08-19 Sven Löffler , Ke Liu , Petra Hofstedt

We introduce and study the multi-agent stochastic shortest path (MSSP) problem, in which $k$ agents strive to reach a target state, aiming to minimize the expected time to reach the target by any agent. We analyze the computational and…

Multiagent Systems · Computer Science 2026-05-08 Martin Jonáš , Antonín Kučera , Vojtěch Kůr , Jan Mačák , Vojtěch Řehák

In this paper we present and evaluate a parallel algorithm for solving a minimum spanning tree (MST) problem for supercomputers with distributed memory. The algorithm relies on the relaxation of the message processing order requirement for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Artem Mazeev , Alexander Semenov , Alexey Simonov

We consider an extension of the set covering problem (SCP) introducing (i)~multicover and (ii)~generalized upper bound (GUB)~constraints. For the conventional SCP, the pricing method has been introduced to reduce the size of instances, and…

Data Structures and Algorithms · Computer Science 2018-01-09 Shunji Umetani , Masanao Arakawa , Mutsunori Yagiura

Several social, medical, engineering and biological challenges rely on discovering the functionality of networks from their structure and node metadata, when it is available. For example, in chemoinformatics one might want to detect whether…

Machine Learning · Computer Science 2018-11-26 Leonardo Gutierrez Gomez , Jean-Charles Delvenne

We present a method for solving the transshipment problem - also known as uncapacitated minimum cost flow - up to a multiplicative error of $1 + \varepsilon$ in undirected graphs with non-negative edge weights using a tailored gradient…

Data Structures and Algorithms · Computer Science 2021-02-04 Ruben Becker , Sebastian Forster , Andreas Karrenbauer , Christoph Lenzen

We study the problem of quickly computing point-to-point shortest paths in massive road networks with traffic predictions. Incorporating traffic predictions into routing allows, for example, to avoid commuter traffic congestions. Existing…

Data Structures and Algorithms · Computer Science 2021-03-29 Ben Strasser , Dorothea Wagner , Tim Zeitz

The goal of a hub-based distance labeling scheme for a network G = (V, E) is to assign a small subset S(u) $\subseteq$ V to each node u $\in$ V, in such a way that for any pair of nodes u, v, the intersection of hub sets S(u) $\cap$ S(v)…

Data Structures and Algorithms · Computer Science 2016-12-13 Adrian Kosowski , Laurent Viennot

Optimal Multi-Robot Path Planning (MRPP) has garnered significant attention due to its many applications in domains including warehouse automation, transportation, and swarm robotics. Current MRPP solvers can be divided into…

Robotics · Computer Science 2023-06-27 Teng Guo , Jingjin Yu

Coverage Path Planning (CPP) is vital in precision agriculture to improve efficiency and resource utilization. In irregular and dispersed plantations, traditional grid-based CPP often causes redundant coverage over non-vegetated areas,…

Robotics · Computer Science 2025-05-09 Weijie Kuang , Hann Woei Ho , Ye Zhou

The $CONGEST$ model for distributed network computing is well suited for analyzing the impact of limiting the throughput of a network on its capacity to solve tasks efficiently. For many "global" problems there exists a lower bound of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-21 Dennis Olivetti

Optimizing a network of maps among a collection of objects/domains (or map synchronization) is a central problem across computer vision and many other relevant fields. Compared to optimizing pairwise maps in isolation, the benefit of map…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Zaiwei Zhang , Zhenxiao Liang , Lemeng Wu , Xiaowei Zhou , Qixing Huang

There has been a surge of interest in learning optimal decision trees using mixed-integer programs (MIP) in recent years, as heuristic-based methods do not guarantee optimality and find it challenging to incorporate constraints that are…

Machine Learning · Computer Science 2023-02-15 Shivaram Subramanian , Wei Sun

The minimum-cost arborescence problem is a well-studied problem in the area of graph theory, with known polynomial-time algorithms for solving it. Previous literature introduced new variations on the original problem with different…

Optimization and Control · Mathematics 2023-05-15 Xiaochen Chou , Mauro Dell'Amico , Jafar Jamal , Roberto Montemanni

In this articlewestudy themulticast routing problem in all-opticalWDMnetworks under the spare light splitting constraint. To implement a multicast session, several light-trees may have to be used due to the limited fanouts of network nodes.…

Networking and Internet Architecture · Computer Science 2010-12-02 Fen Zhou , Miklos Molnar , Bernard Cousin