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math.CO2023
On a colorful problem by Dol'nikov concerning translates of convex bodies
Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado
In this note we study a conjecture by Jerónimo-Castro, Magazinov and Soberón which generalized a question posed by Dol'nikov. Let be families of translates of a…
math.CO2023
Transversals to colorful intersecting convex sets
Cuauhtemoc Gomez-Navarro, Edgardo Roldán-Pensado
Let be a compact convex set in and let be finite families of translates of such that …
math.CO2023
Total orders realizable as the distances between two sets of points
Gerardo L. Maldonado, Miguel Raggi Pérez, Edgardo Roldán-Pensado
In this note we give a negative answer to a question proposed by Almendra-Hernández and Martínez-Sandoval. Let be positive integers and let and be sets of sizes $n…