Some Bounds on the Spectral Radius of Uniform Hypergraphs

IF 0.8 3区数学 Q2 MATHEMATICS

Frontiers of Mathematics in China Pub Date : 2023-09-01 DOI:10.1007/s11464-021-0025-7

Xiaona Fang, Yufei Huang, Lihua You

引用次数: 0

Abstract

Let ℋ be a uniform hypergraph. In this paper, we obtain several bounds for the spectral radius of ℋ in terms of the parameters such as q-average-degrees, diameter, and characterize the corresponding extremal hypergraphs. Moreover, we discuss the change for the spectral radius of a uniform hypergraph after deleting a vertex, and give a comparison of our results with some known ones.

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一致超图谱半径的若干界

设h是一个一致超图。本文用q平均度、直径等参数给出了h的谱半径的若干界，并刻画了相应的极值超图。此外，我们还讨论了均匀超图在删除一个顶点后谱半径的变化，并将我们的结果与一些已知的结果进行了比较。

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

Frontiers of Mathematics in China MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

703

审稿时长

6-12 weeks

期刊介绍： Frontiers of Mathematics in China provides a forum for a broad blend of peer-reviewed scholarly papers in order to promote rapid communication of mathematical developments. It reflects the enormous advances that are currently being made in the field of mathematics. The subject areas featured include all main branches of mathematics, both pure and applied. In addition to core areas (such as geometry, algebra, topology, number theory, real and complex function theory, functional analysis, probability theory, combinatorics and graph theory, dynamical systems and differential equations), applied areas (such as statistics, computational mathematics, numerical analysis, mathematical biology, mathematical finance and the like) will also be selected. The journal especially encourages papers in developing and promising fields as well as papers showing the interaction between different areas of mathematics, or the interaction between mathematics and science and engineering.