The number of convex sets in a product of totally ordered sets

Brandy Barnette; Warren Nichols; Tom Richmond

doi:10.1216/RMJ-2019-49-2-369

Abstract

We give a formula for the number of convex sets in a product of two finite totally ordered sets with the product order and discuss related counting problems.

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Brandy Barnette. Warren Nichols. Tom Richmond. "The number of convex sets in a product of totally ordered sets." Rocky Mountain J. Math. 49 (2) 369 - 385, 2019. https://doi.org/10.1216/RMJ-2019-49-2-369

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Received: 17 October 2017; Revised: 24 July 2018; Published: 2019

First available in Project Euclid: 23 June 2019

zbMATH: 07079974

MathSciNet: MR3973230

Digital Object Identifier: 10.1216/RMJ-2019-49-2-369

Subjects:

Primary: 06A07

Keywords: convex set , product order , totally ordered set

Abstract

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