Leonardo Martínez-Sandoval

activity

20152020

most citedA geometric Hall-type theorem

3 citations · 8 across the 6 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.CO2015★ 2 cited

Complete Kneser Transversals

Jonathan Chappelon, Leonardo Martínez-Sandoval, Luis Montejano +2

Let $k, d, λ ⩾ 1$ be integers with $d ⩾ λ$ . Let $m (k, d, λ)$ be the maximum positive integer $n$ such that every set of $n$ points (not necessarily in general position) in…

math.CO2015

A Tutte polynomial inequality for lattice path matroids

Kolja Knauer, Leonardo Martínez-Sandoval, Jorge Luis Ramírez Alfonsín

Let $M$ be a matroid without loops or coloops and let $T (M; x, y)$ be its Tutte polynomial. In 1999 Merino and Welsh conjectured that $max (T (M; 2, 0), T (M; 0, 2)) \geq T (M; 1, 1)$ holds…

math.CO2015★ 3 cited

A geometric Hall-type theorem

Andreas Holmsen, Leonardo Martinez-Sandoval, Luis Montejano

We introduce a geometric generalization of Hall's marriage theorem. For any family $F = {X_{1}, \dots, X_{m}}$ of finite sets in $R^{d}$ , we give conditions under which it is…