分数完美匹配和距离谱半径图

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-12-19 DOI:10.1016/j.laa.2024.12.016

Lei Zhang , Yaoping Hou , Haizhen Ren

引用次数: 0

摘要

图G的分数阶匹配是一个函数f给每条边一个在[0,1]中的数，使得对于每条v∈v (G),∑e∈EG(v)f(e)≤1，其中EG(v)是与v相关的边的集合。本文给出了保证分数阶完美匹配存在的距离谱半径条件。这一结果推广了Lin and Zhang(2021)[22]的结果。

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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Fractional perfect matching and distance spectral radius in graphs

A fractional matching of a graph G is a function f giving each edge a number in

[0, 1]

so that

\sum_{e \in E_{G} (v)} f (e) \leq 1

for each

v \in V (G)

, where

E_{G} (v)

is the set of edges incident to v. In this paper, we give a distance spectral radius condition to guarantee the existence of a fractional perfect matching. This result generalize the result of Lin and Zhang (2021) [22].

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.