烟囱在构图和柱状图

IF 1 Q1 MATHEMATICS Discrete Mathematics Letters Pub Date : 2023-08-11 DOI:10.47443/dml.2023.103

M. Archibald, A. Blecher, A. Knopfmacher, T. Mansour

{"title":"烟囱在构图和柱状图","authors":"M. Archibald, A. Blecher, A. Knopfmacher, T. Mansour","doi":"10.47443/dml.2023.103","DOIUrl":null,"url":null,"abstract":"Motivated by cut points in graph theory, we consider a similar notion in compositions and bargraphs. This is equivalent to counting r -chimneys (a single column extending beyond its immediate neighbours by at least r cells in a bargraph). We establish generating functions for compositions that avoid or count 2 -chimneys. Thereafter, in the case of bargraphs we provide two methods for obtaining these generating functions as well as asymptotic estimates for the more general r -chimneys where r ≥ 1","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chimneys in compositions and bargraphs\",\"authors\":\"M. Archibald, A. Blecher, A. Knopfmacher, T. Mansour\",\"doi\":\"10.47443/dml.2023.103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by cut points in graph theory, we consider a similar notion in compositions and bargraphs. This is equivalent to counting r -chimneys (a single column extending beyond its immediate neighbours by at least r cells in a bargraph). We establish generating functions for compositions that avoid or count 2 -chimneys. Thereafter, in the case of bargraphs we provide two methods for obtaining these generating functions as well as asymptotic estimates for the more general r -chimneys where r ≥ 1\",\"PeriodicalId\":36023,\"journal\":{\"name\":\"Discrete Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/dml.2023.103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2023.103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

受图论中切点的启发，我们在构图和条形图中考虑了类似的概念。这相当于对r-烟囱进行计数（条形图中的单个柱延伸超过其近邻至少r个单元格）。我们为避免或计数2-烟囱的合成物建立生成函数。然后，在条形图的情况下，我们提供了两种获得这些生成函数的方法，以及r≥1的更一般r烟囱的渐近估计

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Chimneys in compositions and bargraphs

Motivated by cut points in graph theory, we consider a similar notion in compositions and bargraphs. This is equivalent to counting r -chimneys (a single column extending beyond its immediate neighbours by at least r cells in a bargraph). We establish generating functions for compositions that avoid or count 2 -chimneys. Thereafter, in the case of bargraphs we provide two methods for obtaining these generating functions as well as asymptotic estimates for the more general r -chimneys where r ≥ 1

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊