activity
20242026
collaborators

5 papers

cs.CG2026

Optimizing Line Segment Inspection with Limited-Range Drones

José-Miguel Díaz-Báñez, José-Manuel Higes, Alina Kasiuk +1

Optimization problems with drones are widely studied in a variety of civilian tasks, mainly due to their ability to traverse rough terrains and to carry cameras and other sensors f…

cs.DM2025

Modeling energy collection with shortest paths in rectangular grids: an efficient algorithm for energy harvesting

José-Miguel Díaz-Bañez, José-Manuel Higes-López, Miguel-Angel Pérez-Cutiño +1

Parabolic Trough solar fields are among the most prominent methods for harnessing solar energy. However, continuous sun-tracking movements leads to wear and degradation of the trac…

cs.DM2025

Optimal covering of rectangular grid graphs with tours of constrained length

Sergey Bereg, Jesús Capitán, José-Miguel Díaz-Bañez +4

Given a rectangular grid graph with a special vertex at a corner called base station, we study the problem of covering the vertices of the entire graph with tours that start and en…

cs.CG2025

Ortho-unit polygons can be guarded with at most guards

J. M. Díaz-Báñez, P. Horn, M. A. Lopez +5

An orthogonal polygon is called an ortho-unit polygon if its vertices have integer coordinates, and all of its edges have length one. In this paper we prove that any ortho-unit pol…

cs.DM2024

Optimal energy collection with rotational movements constraints in concentrated solar power plants

J. M. Díaz-Bañez, J. M. Higes-López, M. A. Pérez-Cutiño +1

In Concentrated Solar Power (CSP) plants based on Parabolic Trough Collectors (PTC), the Sun is tracked at discrete time intervals, with each interval representing a movement of th…