The number of order-preserving maps between fences and crowns
type: Item
instance of: scholarly article
title: The number of order-preserving maps between fences and crowns
zbMATH Open document ID: 0849.06005
DOI: 10.1007/BF01108588
author: Jonathan David Farley
published in: Order
publication date: 1996-07-08T00:00:00Z
review text: The paper deals with enumeration of order-preserving and -reversing maps between special poset classes, like fences and crowns. It starts with an extensive historical account on the topic and then supplies exact formulae. The proofs operate with lengthy but elementary calculations.
Mathematics Subject Classification ID: 06A07
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05C30
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C38
zbMATH DE Number: 898021
zbMATH Keywords: order-preserving maps
zbMATH Keywords: order-reversing maps
zbMATH Keywords: Pascal's triangle
zbMATH Keywords: fences
zbMATH Keywords: crowns
reviewed by: Péter L. Erdős
MaRDI profile type: Publication
cites work: The number of order-preserving maps of fences and crowns
cites work: Enumeration of order preserving maps
cites work: Q3253257
cites work: Counting the number of isotone selfmappings of crowns
cites work: Q4326647
cites work: The number of strictly increasing mappings of fences
cites work: The formula for the number of order-preserving selfmappings of a fence
cites work: Note on a “Square” Functional Equation
cites work: Q4881864
description: scientific article; zbMATH DE number 898021