<abstract xmlns="http://www.w3.org/1999/xhtml">

For a commutative ring R with identity 1, the zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set is the set of non-zero zero divisors Z*(R) and the two vertices x and y ∈ Z*(R) are adjacent if and only if xy = 0. In this paper, we compute the values of some graph parameters of the zero-divisor graph associated to the ring of Gaussian integers modulo n, ℤn[i] and the ring of integers modulo n, ℤn.
</abstract>

For a commutative ring R with identity 1, the zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set is the set of non-zero zero divisors Z*(R) and the two vertices x and y ∈ Z*(R) are adjacent if and only if xy = 0. In this paper, we compute the values of some graph parameters of the zero-divisor graph associated to the ring of Gaussian integers modulo n, ℤn[i] and the ring of integers modulo n, ℤn.

On graphs associated to ring of Guassian integers and ring of integers modulo n

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On graphs associated to ring of Guassian integers and ring of integers modulo n"}

For a commutative ring R with identity 1, the zero-divisor graph of R, denoted by Γ(R), is a simple graph whose vertex set is the set of non-zero zero divisors...

On graphs associated to ring of Guassian integers and ring of integers modulo n

Published Online: Aug 12, 2022

Page range: 75 - 83

Received: Apr 24, 2022

Accepted: May 13, 2022

DOI: https://doi.org/10.2478/ausi-2022-0005

Keywords
ring, zero-divisor graph, ring of Gaussian integers, ring of integers modulo n

© 2022 S. Pirzada et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On graphs associated to ring of Guassian integers and ring of integers modulo n

Published Online: Aug 12, 2022

Page range: 75 - 83

Received: Apr 24, 2022

Accepted: May 13, 2022

DOI: https://doi.org/10.2478/ausi-2022-0005

Keywordsring, zero-divisor graph, ring of Gaussian integers, ring of integers modulo n

© 2022 S. Pirzada et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
ring, zero-divisor graph, ring of Gaussian integers, ring of integers modulo n