AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (247.6 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Nonisotropic symplectic graphs over finite commutative rings

Songpon Sriwongsa1, Siripong Sirisuk2( )
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
Department of Mathematics and Statistics, Faculty of Science and Techonology, Thammasat University, Pathum Thani 12120, Thailand
Show Author Information

Abstract

In this paper, we study two types of nonisotropic symplectic graphs over finite commutative rings defined by nonisotropic free submodules of rank 2 and McCoy rank of matrices. We prove that the graphs are quasi-strongly regular or Deza graphs and we find their parameters. The diameter and vertex transitivity are also analyzed. Moreover, we study subconstituents of these nonisotropic symplectic graphs.

Keywords

local ringMcCoy rank, nonisotropic subspacesymplectic space
CLC number: 05C25, 13H05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 821-839
DOI: 10.3934/math.2022049

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Sriwongsa S, Sirisuk S. Nonisotropic symplectic graphs over finite commutative rings. AIMS Mathematics, 2022, 7(1): 821-839. https://doi.org/10.3934/math.2022049

6

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 04 June 2021
Accepted: 13 October 2021
Published: 15 January 2022
©2021 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)