数学研究及应用2024,Vol.44Issue(4) :427-436.DOI:10.3770/j.issn:2095-2651.2024.04.001

Enumerating Pattern-avoiding Fishburn Permutations Subject to Seven Statistics

Yujie DU Philip B.ZHANG
数学研究及应用2024,Vol.44Issue(4) :427-436.DOI:10.3770/j.issn:2095-2651.2024.04.001

Enumerating Pattern-avoiding Fishburn Permutations Subject to Seven Statistics

Yujie DU 1Philip B.ZHANG1
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作者信息

  • 1. College of Mathematical Science,Tianjin Normal University,Tianjin 300387,P.R.China
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Abstract

Fishburn permutations are in bijection with several important combinatorial struc-tures including interval orders.In this paper,we use the method of generating trees to enumerate two classes of pattern-avoiding Fishburn permutations subject to 7 classical statistics simulta-neously.The classes of our interest are(321,312)-avoiding and(321,4123)-avoiding Fishburn permutations.The statistics of our interest are ascents,descents,inversions,right-to-left maxi-ma,right-to-left minima,left-to-right maxima and left-to-right minima.Our results generalize a result by Egge.

Key words

Fishburn permutation/Fishburn number/pattern avoidance/generating tree

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基金项目

National Natural Science Foundation of China(12171362)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

CSCD
影响因子:0.094
ISSN:2095-2651
参考文献量12
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