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

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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

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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

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来源期刊

Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

12 weeks