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math.CO2017
On lattice path matroid polytopes: integer points and Ehrhart polynomial
Kolja Knauer, Leonardo Martínez-Sandoval, Jorge Luis Ramírez Alfonsín
In this paper we investigate the number of integer points lying in dilations of lattice path matroid polytopes. We give a characterization of such points as polygonal paths in the…
cs.CG2017★ 1 cited
Bounding a global red-blue proportion using local conditions
Márton Naszódi, Leonardo Martínez-Sandoval, Shakhar Smorodinsky
We study the following local-to-global phenomenon: Let and be two finite sets of (blue and red) points in the Euclidean plane . Suppose that in each "neighbor…