16 citations · 23 across the 12 of their papers we have counts for
17 papers
Strongly involutive self-dual polyhedra
Javier Bracho, Luis Montejano, Eric Pauli +1
A polyhedron is a graph which is simple, planar and 3-connected. In this note, we classify the family of strongly involutive self-dual polyhedra. The latter is done by using a…
Primes in numerical semigroups
Jorge L. Ramirez Alfonsin, Mariusz Skalba
Let 0 < a < b be two relatively prime integers and let <a,b> be the numerical semigroup generated by a and b with Frobenius number g(a,b)=ab-a-b. In this note, we prove that there…
On the number of vertices of projective polytopes
Natalia García-Colín, Luis Pedro Montejano, Jorge Luis Ramírez Alfonsín
Let be a configuration of points in . What is the maximum number of vertices that can have among all the possible permissible projective transfor…
Cubic graphs, their Ehrhart quasi-polynomials, and a scissors congruence phenomenon
Cristina G. Fernandes, José C. de Pina, Jorge Luis Ramírez Alfonsín +1
The scissors congruence conjecture for the unimodular group is an analogue of Hilbert's third problem, for the equidecomposability of polytopes. Liu and Osserman studied the Ehrhar…
Codimension two and three Kneser Transversals
Jonathan Chappelon, Leonardo Martínez-Sandoval, Luis Montejano +2
Let be integers with and let be a finite set of points in . A -plane transversal to the convex hulls of all -set…
A Tutte polynomial inequality for lattice path matroids
Kolja Knauer, Leonardo Martínez-Sandoval, Jorge Luis Ramírez Alfonsín
Let be a matroid without loops or coloops and let be its Tutte polynomial. In 1999 Merino and Welsh conjectured that holds…