Some properties of zero divisor graph obtained by the ring Zp × Zq × Zr-Reference-Cited by-同舟云学术

Some properties of zero divisor graph obtained by the ring Zp × Zq × Zr

Published:2019-10-14 Issue:06 Volume:12 Page:2040001
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Akgunes Nihat¹,Nacaroglu Yasar²

Affiliation:

1. Department of Mathematics and Computer Sciences, Necmettin Erbakan University, Konya, Turkey

2. Department of Mathematics, Faculty of Science, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey

Abstract

The concept of zero-divisor graph of a commutative ring was introduced by Beck [Coloring of commutating ring, J. Algebra 116 (1988) 208–226]. In this paper, we present some properties of zero divisor graphs obtained from ring [Formula: see text], where [Formula: see text] and [Formula: see text] are primes. Also, we give some degree-based topological indices of this special graph.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179355712040001X

Reference15 articles.

1. On the Zero-Divisor Graph of a Ring

2. The Zero-Divisor Graph of a Commutative Ring

3. Beck′s Coloring of a Commutative Ring

4. Analysis of graph parameters associated with zero-divisor graphs of commutative rings

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