具有给定秩和最大大小的p集的实对称矩阵

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-05-22 DOI:10.1016/j.disc.2025.114572

Zhibin Du , Carlos M. da Fonseca

引用次数: 0

摘要

给定秩为r的实对称矩阵a， a的p集的最大大小不超过⌊r/2⌋。在这项工作中，我们充分刻画了存在实对称矩阵达到这个界的极大图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The real symmetric matrices with a given rank and a P-set with maximum size

Given a real symmetric matrix A of rank r, the maximum size of a P-set of A does not exceed

⌊ r / 2 ⌋

. In this work, we fully characterize the maximal graphs for which there is a real symmetric matrix attaining this bound.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.