A study of right zero divisor graph of 3 × 3 matrices over ℤ₂

Abdul Jalil M. Khalaf1 Department of Mathematics, Faculty of Computer Science & Mathematics, University of Kufa, Najaf, Iraq E-mail: [email protected]

https://orcid.org/0000-0002-2447-6666

Deeba Afzal2 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan E-mail: [email protected]

Faiza Khan Sherwani3 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan E-mail: [email protected]

Ayesha Maqbool4 MCS, National University of Sciences and Technology (NUST), Islamabad, Pakistan E-mail: [email protected]

Minhas Mahsud5 MCS, National University of Sciences and Technology (NUST), Islamabad, Pakistan E-mail: [email protected]

Farkhanda Afzal6 MCS, National University of Sciences and Technology (NUST), Islamabad, PakistanCorrespondence[email protected]

Abstract

In [10] we have computed left zero divisor graph of the ring R, where R is the set of all 3 × 3 matrices over the ring ℤ₂ of integers modulo 2 is constructed. We have extended our result for right zero divisor graph of the ring R. Thus we have listed vertices of RZDG by means of lexicographic order. Which enables us to present algorithm that computes the edges of this graph. In addition, it helps to analyze some of its important properties.

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A study of right zero divisor graph of 3 × 3 matrices over ℤ2

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A study of right zero divisor graph of 3 × 3 matrices over ℤ₂