Distance spectrum of some zero divisor graphs

Fareeha Jamal; Muhammad Imran

doi:10.3934/math.20241166

Distance spectrum of some zero divisor graphs

Fareeha Jamal
, Muhammad Imran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In the present article, we give the distance spectrum of the zero divisor graphs of the commutative rings Z_t [x]/⟨x⁴ ⟩ (t is any prime), Z_t 2 [x]/⟨x² ⟩ (t ≥ 3 is any prime) and F_t [u]/⟨u³ ⟩ (t is an odd prime), where Z_t is an integer modulo ring and F_t 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 language	English
Pages (from-to)	23979-23996
Number of pages	18
Journal	AIMS Mathematics
Volume	9
Issue number	9
DOIs	https://doi.org/10.3934/math.20241166
Publication status	Published - 2024

Keywords

commutative rings
distance energy
distance spectrum
zero divisor graphs

ASJC Scopus subject areas

General Mathematics

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10.3934/math.20241166

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author = "Fareeha Jamal and Muhammad Imran",

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AB - 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.

KW - commutative rings

KW - distance energy

KW - distance spectrum

KW - zero divisor graphs

UR - https://www.scopus.com/pages/publications/85201114208

UR - https://www.scopus.com/pages/publications/85201114208#tab=citedBy

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JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 9

ER -

Distance spectrum of some zero divisor graphs

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Keywords

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