Laplacian spectrum of the unit graph associated to the ring of integers modulo pq
Let $ R $ be a ring and $ U(R) $ be the set of unit elements of $ R $. The unit graph $ G(R) $ of $ R $ is the graph whose vertices are all the elements of $ R $, defining distinct vertices $ x $ and $ y $ to be adjacent if and only if $ x + y \in U(R) $. The Laplacian spectrum of $ G(\mathbb{Z}_n)...
Main Authors: | Wafaa Fakieh, Amal Alsaluli, Hanaa Alashwali |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2024-01-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024200?viewType=HTML |
Similar Items
-
On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo <i>n</i>
by: Bilal A. Rather, et al.
Published: (2021-02-01) -
Spectrum of the Cozero-Divisor Graph Associated to Ring <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">Z</mi><mi>n</mi></msub></mrow></semantics></math></inline-formula>
by: Mohd Rashid, et al.
Published: (2023-10-01) -
On Normalized Laplacian Spectra of the Weakly Zero-Divisor Graph of the Ring ℤ<sub>n</sub>
by: Nazim, et al.
Published: (2023-10-01) -
On distance Laplacian spectrum of zero divisor graphs of the ring $\mathbb{Z}_{n}$
by: S. Pirzada, et al.
Published: (2021-03-01) -
On normalized Laplacian spectrum of zero divisor graphs of commutative ring ℤn
by: S. Pirzada, et al.
Published: (2021-10-01)