Extremal numbers of leaves for trees with fixed diameter and maximum degree

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-06-23 DOI:10.1016/j.dam.2025.06.005

Xing Feng , Zejun Huang

引用次数: 0

Abstract

In 1975, Lesniak established a lower bound on the number of leaves in trees with given order and diameter, which is sharp when the diameter is even. Qiao and Zhan later determined the exact minimum number of leaves in such trees. In this note, we determine both the minimum number and the maximum number of leaves for trees with given order, diameter and maximum degree.

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具有固定直径和最大度的树的叶子的极值数

1975年，Lesniak建立了给定阶数和直径的树的叶数下界，该下界在直径为偶数时是尖锐的。乔和詹后来确定了这种树的确切最小叶子数。在本文中，我们确定了给定阶数、直径和最大度的树的最小叶数和最大叶数。

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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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.