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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
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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

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

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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

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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)