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 language | English |
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Pages (from-to) | 23979-23996 |
Number of pages | 18 |
Journal | AIMS Mathematics |
Volume | 9 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2024 |
Keywords
- commutative rings
- distance energy
- distance spectrum
- zero divisor graphs
ASJC Scopus subject areas
- General Mathematics