Document Type

Article

Language

eng

Format of Original

1 p.

Publication Date

2014

Publisher

Electronic Journal of Combinatorics

Source Publication

Electronic Journal of Combinatorics

Source ISSN

1077-8926

Abstract

The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin denote the unique minimal element in this lattice, and τmax the unique maximum. The number of r-tuples of monotone triangles (τ1...,τr) with minimul infimum τmin (maximul supremum τmax, resp.) is shown to asymptotically approach r|�n|r-1 as n→ ∞. Thus, with high probability this even implies that one of the τi is τmin (τmax, resp.). Higher-order error terms are also discussed.

Comments

Published version. Electronic Journal of Combinatorics, Vol. 21, No. 3 (2014). Permalink. © The Authors 2014.

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