On generalized Turán number of graphs with bounded matching number

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-08-28 DOI:10.1016/j.dam.2025.08.029

Yisai Xue , Liying Kang

引用次数: 0

Abstract

The generalized Turán number

ex (n, H, F)

is defined as the maximum number of copies of a graph

H

in an

n

-vertex graph that does not contain any graph

F \in F

. Alon and Frankl initiated the study of Turán problems with a bounded matching number. In this paper, we establish stability results for generalized Turán problems with bounded matching number. Using the stability results, we provide exact values of

ex (n, K_{r}, {F, M_{s + 1}})

for

F

being any non-bipartite graph or a path.

查看原文本刊更多论文

关于有界匹配数图的广义Turán数

广义Turán数ex（n，H，F）定义为不包含任何图F∈F的n顶点图中图H的最大拷贝数。Alon和Frankl开创了有界匹配数Turán问题的研究。本文建立了一类匹配数有界的广义Turán问题的稳定性结果。利用稳定性结果，我们给出了当F为任意非二部图或路径时ex（n,Kr,{F,Ms+1}）的精确值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.