Atli Fannar Franklín, Anders Claesson, Christian Bean, Henning Úlfarsson, Jay Pantone
{"title":"Restricted Permutations Enumerated by Inversions","authors":"Atli Fannar Franklín, Anders Claesson, Christian Bean, Henning Úlfarsson, Jay Pantone","doi":"arxiv-2406.16403","DOIUrl":null,"url":null,"abstract":"Permutations are usually enumerated by size, but new results can be found by\nenumerating them by inversions instead, in which case one must restrict one's\nattention to indecomposable permutations. In the style of the seminal paper by\nSimion and Schmidt, we investigate all combinations of permutation patterns of\nlength at most 3.","PeriodicalId":501216,"journal":{"name":"arXiv - CS - Discrete Mathematics","volume":"141 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16403","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Permutations are usually enumerated by size, but new results can be found by
enumerating them by inversions instead, in which case one must restrict one's
attention to indecomposable permutations. In the style of the seminal paper by
Simion and Schmidt, we investigate all combinations of permutation patterns of
length at most 3.