线性扩展和续分数

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2024-07-02 DOI:10.1016/j.ejc.2024.104018

Swee Hong Chan , Igor Pak

引用次数: 0

摘要

我们介绍了几种有限正集的新构造，其线性扩展数由广义连续分数给出。我们将我们的结果应用于具有给定线性扩展数的正集合所需的最小元素数问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Linear extensions and continued fractions

We introduce several new constructions of finite posets with the number of linear extensions given by generalized continued fractions. We apply our results to the problem of the minimum number of elements needed for a poset with a given number of linear extensions.

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.