Permutations Generated by Stacks and Deques

Michael Albert; Michael David Atkinson; Stephen Alexander Linton

doi:10.1007/s00026-010-0042-9

Permutations Generated by Stacks and Deques

Michael Albert, Michael David Atkinson, Stephen Alexander Linton

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Lower and upper bounds are given for the the number of permutations of length n generated by two stacks in series, two stacks in parallel, and a general deque.

Original language	English
Pages (from-to)	3-16
Number of pages	14
Journal	Annals of Combinatorics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s00026-010-0042-9
Publication status	Published - Mar 2010

Keywords

deque
parallel stacks
serial stacks
permutation
enumeration
growth rate
GRAPHS

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10.1007/s00026-010-0042-9

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Linton, S. A. (PI), Gent, I. P. (CoI), Leonhardt, U. (CoI), Mackenzie, A. (CoI), Miguel, I. J. (CoI), Quick, M. (CoI) & Ruskuc, N. (CoI)
EPSRC
1/09/05 → 31/08/10
Project: Standard

Cite this

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title = "Permutations Generated by Stacks and Deques",

abstract = "Lower and upper bounds are given for the the number of permutations of length n generated by two stacks in series, two stacks in parallel, and a general deque.",

keywords = "deque, parallel stacks, serial stacks, permutation, enumeration, growth rate, GRAPHS",

author = "Michael Albert and Atkinson, {Michael David} and Linton, {Stephen Alexander}",

year = "2010",

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doi = "10.1007/s00026-010-0042-9",

language = "English",

volume = "14",

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AU - Albert, Michael

AU - Atkinson, Michael David

AU - Linton, Stephen Alexander

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N2 - Lower and upper bounds are given for the the number of permutations of length n generated by two stacks in series, two stacks in parallel, and a general deque.

AB - Lower and upper bounds are given for the the number of permutations of length n generated by two stacks in series, two stacks in parallel, and a general deque.

KW - deque

KW - parallel stacks

KW - serial stacks

KW - permutation

KW - enumeration

KW - growth rate

KW - GRAPHS

U2 - 10.1007/s00026-010-0042-9

DO - 10.1007/s00026-010-0042-9

M3 - Article

SN - 0218-0006

VL - 14

SP - 3

EP - 16

JO - Annals of Combinatorics

JF - Annals of Combinatorics

IS - 1

ER -

Permutations Generated by Stacks and Deques

Abstract

Keywords

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Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this