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

Abdul Jalil M. Khalaf, Deeba Afzal, Faiza Khan Sherwani, Ayesha Maqbool, Minhas Mahsud, Farkhanda Afzal

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)1811-1816
Number of pages6
JournalJournal of Information and Optimization Sciences
Volume41, 2020
Issue number8
Early online date11 Nov 2020
DOIs
Publication statusPublished (in print/issue) - 16 Nov 2020

Keywords

  • Zero diviser graph
  • Star graph
  • Associative ring
  • Right zero divisor graph
  • Lexicographic order

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