[HTML][HTML] A scaleable projection‐based branch‐and‐cut algorithm for the p‐center problem
The p-center problem (pCP) is a fundamental problem in location science, where we are
given customer demand points and possible facility locations, and we want to choose p of …
given customer demand points and possible facility locations, and we want to choose p of …
A trade-off algorithm for solving p-center problems with a graph convolutional network
The spatial optimization method between combinatorial optimization problems and GIS has
many geographical applications. The p-center problem is a classic NP-hard location …
many geographical applications. The p-center problem is a classic NP-hard location …
[HTML][HTML] In-situ elastic calibration of robots: Minimally-invasive technology, cover-based pose search and aerospace case studies
B Monsarrat, JM Audet, Y Fortin, G Côté… - Robotics and Computer …, 2024 - Elsevier
This paper presents a novel technology for the in-situ robot elastic calibration (IREC) in
industrial settings. It was especially formulated for robots that are used for accuracy …
industrial settings. It was especially formulated for robots that are used for accuracy …
Graph burning: Mathematical formulations and optimal solutions
J García-Díaz, LMX Rodríguez-Henríquez… - Mathematics, 2022 - mdpi.com
The graph burning problem is an NP-hard combinatorial optimization problem that helps
quantify how vulnerable a graph is to contagion. This paper introduces three mathematical …
quantify how vulnerable a graph is to contagion. This paper introduces three mathematical …
Burning graphs through farthest-first traversal
J García-Díaz, JC Pérez-Sansalvador… - IEEE …, 2022 - ieeexplore.ieee.org
Graph burning is a process to determine the spreading of information in a graph. If a
sequence of vertices burns all the vertices of a graph by following the graph burning …
sequence of vertices burns all the vertices of a graph by following the graph burning …
Fibered: Fiberwise dimensionality reduction of topologically complex data with vector bundles
L Scoccola, JA Perea - arXiv preprint arXiv:2206.06513, 2022 - arxiv.org
Datasets with non-trivial large scale topology can be hard to embed in low-dimensional
Euclidean space with existing dimensionality reduction algorithms. We propose to model …
Euclidean space with existing dimensionality reduction algorithms. We propose to model …
Solving the capacitated vertex k-center problem through the minimum capacitated dominating set problem
JA Cornejo Acosta, J García Díaz… - Mathematics, 2020 - mdpi.com
The capacitated vertex k-center problem receives as input a complete weighted graph and a
set of capacity constraints. Its goal is to find a set of k centers and an assignment of vertices …
set of capacity constraints. Its goal is to find a set of k centers and an assignment of vertices …
A Spectral Gap-Based Topology Control Algorithm for Wireless Backhaul Networks
SJ González-Ambriz, R Menchaca-Méndez… - Future Internet, 2024 - mdpi.com
This paper presents the spectral gap-based topology control algorithm (SGTC) for wireless
backhaul networks, a novel approach that employs the Laplacian Spectral Gap (LSG) to find …
backhaul networks, a novel approach that employs the Laplacian Spectral Gap (LSG) to find …
A greedy heuristic for graph burning
J García-Díaz, JA Cornejo-Acosta - arXiv preprint arXiv:2401.07577, 2024 - arxiv.org
Given a graph $ G $, the optimization version of the graph burning problem seeks for a
sequence of vertices, $(u_1, u_2,..., u_k)\in V (G)^ k $, with minimum $ k $ and such that …
sequence of vertices, $(u_1, u_2,..., u_k)\in V (G)^ k $, with minimum $ k $ and such that …
[PDF][PDF] An analysis between exact and approximate algorithms for the k-center problem in graphs
This research focuses on the k-center problem and its applications. Different methods for
solving this problem are analyzed. The implementations of an exact algorithm and of an …
solving this problem are analyzed. The implementations of an exact algorithm and of an …