Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph

Author:

Vieira Luís Almeida1ORCID

Affiliation:

1. Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal

Abstract

In this paper, in the environment of Euclidean Jordan algebras, we establish some inequalities over the Krein parameters of a symmetric association scheme and of a strongly regular graph. Next, we define the modified Krein parameters of a strongly regular graph and establish some admissibility conditions over these parameters. Finally, we introduce some relations over the Krein parameters of a strongly regular graph.

Funder

CMUP

FCTwith national (MCTES) and European structural funds through the programs FEDER

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference16 articles.

1. Vieira, L.A. (2022, January 20). An Euclidean Jordan algebra of symmetric matrices closed for the Schur product of matrices. Proceedings of the 27th International Conference on Circuits, Systems, Communications and Computers (CSCC), Rhodes Island, Greece.

2. Faraut, J., and Korányi, A. (1994). Analysis on Symmetric Cones, Oxford Science Publications.

3. Bailey, R.A. (2004). Association Schemes: Designed Experiments, Algebra and Combinatorics, Cambridge University Press. Cambridge Studies in Advanced Mathematics.

4. Zieschang, P.H. (2005). Theory of Association Schemes, Springer. Springer Monographs in Mathematics.

5. New results for arithmetic-Geometric Mean inequalities and singular values in matrices;Rahma;WSEAS Trans. Math.,2021

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3