Open AccessNonisotropic symplectic graphs over finite commutative rings
Author(s) -
Songpon Sriwongsa,
Siripong Sirisuk
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022049
Subject(s) - symplectic geometry , vertex (graph theory) , mathematics , rank (graph theory) , commutative property , combinatorics , pure mathematics , graph
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.