3 papers
math.CO2026
The arc chromatic number for Galois projective planes, affine planes and Euclidean grids
Gabriela Araujo-Pardo, Leonardo MartÃnez-Sandoval, Leonardo Martínez-Sandoval
In 1986, Csima and Füredi determined the minimum number of arcs required to partition the points of Galois projective planes and affine planes . We revisit these…
math.CO2025
Hamiltonian connectivity of some base-cobase graphs
Leonardo MartÃnez-Sandoval, Kolja Knauer
There has been wide interest in understanding which properties of base graphs of matroids extend to base-cobase graphs of matroids. A significant result of Naddef and Pulleyblank (…
math.CO2025
Equicovering masses in the Euclidean plane
Manuel A. Espinosa-GarcÃa, Leonardo MartÃnez-Sandoval, Edgardo Roldán-Pensado
Classic mass partition results are about dividing the plane into regions that are equal with respect to one or more measures (masses). We introduce a new concept in which the notio…