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Doubly exponentially many Ingleton matroids. (arXiv:1710.01924v1 [math.CO])
来源于:arXiv
A matroid is Ingleton if all quadruples of subsets of its ground set satisfy
Ingleton's inequality. In particular, representable matroids are Ingleton. We
show that the number of Ingleton matroids on ground set $[n]$ is doubly
exponential in $n$; it follows that almost all Ingleton matroids are
non-representable. 查看全文>>