Lattice paths and order-preserving partial transformations

A. Laradji; A. Umar

Lattice paths and order-preserving partial transformations

A. Laradji
, A. Umar

Mathematics

King Fahd University for Petroleum and Minerals (KFUPM)

Research output: Contribution to journal › Review article › peer-review

3 Scopus citations

Abstract

Let PO_n be the semigroup of all order-preserving partial transformations of a finite chain. It is shown that there exist bijections between the set of certain lattice paths in the Cartesian plane that start at (0,0), end at (n - 1,n - 1), and.certain subsemigroups of PO_n. Several consequences of these bijections were discussed.

Original language	British English
Pages (from-to)	23-36
Number of pages	14
Journal	Utilitas Mathematica
Volume	101
State	Published - 2016

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abstract = "Let POn be the semigroup of all order-preserving partial transformations of a finite chain. It is shown that there exist bijections between the set of certain lattice paths in the Cartesian plane that start at (0,0), end at (n - 1,n - 1), and.certain subsemigroups of POn. Several consequences of these bijections were discussed.",

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AU - Laradji, A.

AU - Umar, A.

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N2 - Let POn be the semigroup of all order-preserving partial transformations of a finite chain. It is shown that there exist bijections between the set of certain lattice paths in the Cartesian plane that start at (0,0), end at (n - 1,n - 1), and.certain subsemigroups of POn. Several consequences of these bijections were discussed.

AB - Let POn be the semigroup of all order-preserving partial transformations of a finite chain. It is shown that there exist bijections between the set of certain lattice paths in the Cartesian plane that start at (0,0), end at (n - 1,n - 1), and.certain subsemigroups of POn. Several consequences of these bijections were discussed.

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M3 - Review article

AN - SCOPUS:85024474939

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VL - 101

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EP - 36

JO - Utilitas Mathematica

JF - Utilitas Mathematica

ER -

Lattice paths and order-preserving partial transformations

Abstract

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