Laplacian spectrum of the unit graph associated to the ring of integers modulo pq

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)...

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Bibliographic Details
Main Authors: Wafaa Fakieh, Amal Alsaluli, Hanaa Alashwali
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
unit graph
laplacian matrix
laplacian spectrum
direct product
ring of integers modulo n
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024200?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024200?viewType=HTML

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