Distance spectrum of some zero divisor graphs

Fareeha Jamal, Muhammad Imran

Research output: Contribution to journalArticlepeer-review

Abstract

In the present article, we give the distance spectrum of the zero divisor graphs of the commutative rings Zt [x]/⟨x4 ⟩ (t is any prime), Zt 2 [x]/⟨x2 ⟩ (t ≥ 3 is any prime) and Ft [u]/⟨u3 ⟩ (t is an odd prime), where Zt is an integer modulo ring and Ft is a field. We calculated the inertia of these zero divisor graphs and established several sharp bounds for the distance energy of these graphs.

Original languageEnglish
Pages (from-to)23979-23996
Number of pages18
JournalAIMS Mathematics
Volume9
Issue number9
DOIs
Publication statusPublished - 2024

Keywords

  • commutative rings
  • distance energy
  • distance spectrum
  • zero divisor graphs

ASJC Scopus subject areas

  • General Mathematics

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