Original Research Article

Article volume = 2023 and issue = 2

Pages: 127–131

Article publication Date: November 25, 2023

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# On a Class of Symplectic Graphs and Their Automorphisms

#### Bahman Askari(a) and Fataneh Karimi(b)

(a) Department of Mathematics, Qorveh Branch, Islamic Azad University, Qorveh, Iran.

(b) Department of Mathematics, Shahre' Kord Branch, Islamic Azad University, Shahre' Kord, Iran.

##### Abstract:

It easy to see that each graph is a modification of a reduced graph Γ of the same rank. It is proved that for every reduced graph with binary rank 2r, there is a unique maximal graph with binary rank 2r which conatins Γ as an induced subgraph. These maximal graphs are called symplectic graphs. In this paper, we study the symplectic graphs which are defined over a ring. We also find the automorphism group of symplectic graphs which are defined over Zpn, where p is a prime number and n is positive integer.

##### Keywords:

Automorphism; Symplectic Graph; Symplectic Group; Generalized Symplectic Graph.

##### References:

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##### Cite this article as:

- Bahman Askari and Fataneh Karimi, On a Class of Symplectic Graphs and Their Automorphisms, Communications in Combinatorics, Cryptography & Computer Science, 2023(2), PP.127–131, 2023
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