5 papers
Extinction thresholds in a graph-based model of HIV infection dynamics
Manuel A. Espinosa-García, Ana Paulina Figueroa, Julián A. Fresán-Figueroa +2
We study a graph-based cellular automaton for HIV infection dynamics in lymph-node networks, originally introduced by Mukwembi. Each vertex represents a cell site that may be healt…
Equicovering masses in the Euclidean plane
Manuel A. Espinosa-García, Leonardo Martínez-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…
The manifold of polygons degenerated to segments
Manuel A. Espinosa-García, Ahtziri González, Yesenia Villicaña-Molina
In this paper we study the space of -gons in the plane degenerated to segments. We prove that this space is a smooth real submanifold of , and desc…
Update on Sidon-Ramsey numbers
Manuel A. Espinosa-García, Daniel Pellicer
We provide two new exact Sidon-Ramsey numbers to the list known so far. We also improve the upper bounds of the next two Sidon-Ramsey numbers. In doing so, we comment on the tenden…
Sidon-Ramsey and -Ramsey numbers
Manuel A. Espinosa-García, Amanda Montejano, Edgardo Roldán-Pensado +1
For a given positive integer , the Sidon-Ramsey number $\SR(k)$ is defined as the minimum value of such that, in every partition of the set into parts, there ex…