Nonisotropic symplectic graphs over finite commutative rings

Journal article

Authors/Editors

SONGPON SRIWONGSA

Strategic Research Themes

Digital Transformation (Strategic Research Themes)

Publication Details

Author list: Songpon Sriwongsa , Siripong Sirisuk

Publisher: AIMS Press

Publication year: 2022

Volume number: 7

Issue number: 1

Start page: 821

End page: 839

Number of pages: 19

ISSN: 2473-6988

eISSN: 2473-6988

URL: http://www.aimspress.com/article/doi/10.3934/math.2022049

Languages: English-United States (EN-US)

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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

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