### Abstract

Language | English |
---|---|

Pages | 123–129 |

Number of pages | 7 |

Journal | Electronic Notes in Discrete Mathematics |

Volume | 61 |

Early online date | 3 Aug 2017 |

DOIs | |

Publication status | Published - 31 Aug 2017 |

Event | European Conference on Combinatorics, Graph Theory and Applications - Freihaus, Vienna, Austria Duration: 28 Aug 2017 → 1 Sep 2017 http://www.dmg.tuwien.ac.at/eurocomb2017/ |

### Fingerprint

### Keywords

- permutation classes
- growth rates
- 1324-avoiders

### Cite this

*Electronic Notes in Discrete Mathematics*,

*61*, 123–129. https://doi.org/10.1016/j.endm.2017.06.029

}

*Electronic Notes in Discrete Mathematics*, vol. 61, pp. 123–129. https://doi.org/10.1016/j.endm.2017.06.029

**Staircases, dominoes, and the growth rate of 1324-avoiders.** / Bevan, David; Brignall, Robert; Elvey Price, Andrew; Pantone, Jay.

Research output: Contribution to journal › Conference Contribution

TY - JOUR

T1 - Staircases, dominoes, and the growth rate of 1324-avoiders

AU - Bevan, David

AU - Brignall, Robert

AU - Elvey Price, Andrew

AU - Pantone, Jay

PY - 2017/8/31

Y1 - 2017/8/31

N2 - We establish a lower bound of 10.24 for the growth rate of the permutations avoiding 1324, and an upper bound of 13.5. This is done by first finding the precise growth rate of a subclass whose enumeration is related to West-2-stack-sortable permutations, and then combining copies of this subclass in particular ways.

AB - We establish a lower bound of 10.24 for the growth rate of the permutations avoiding 1324, and an upper bound of 13.5. This is done by first finding the precise growth rate of a subclass whose enumeration is related to West-2-stack-sortable permutations, and then combining copies of this subclass in particular ways.

KW - permutation classes

KW - growth rates

KW - 1324-avoiders

UR - http://www.sciencedirect.com/science/journal/15710653

UR - http://www.dmg.tuwien.ac.at/eurocomb2017/

U2 - 10.1016/j.endm.2017.06.029

DO - 10.1016/j.endm.2017.06.029

M3 - Conference Contribution

VL - 61

SP - 123

EP - 129

JO - Electronic Notes in Discrete Mathematics

T2 - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

SN - 1571-0653

ER -