Metric and upper dimension of zero divisor graphs associated to commutative rings

Let R be a commutative ring with Z*(R) as the set of non-zero zero divisors. The zero divisor graph of R, denoted by Γ(R), is the graph whose vertex set is Z*(R), where two distinct vertices x and y are adjacent if and only if xy = 0. In this paper, we investigate the metric dimension dim(Γ(R)) and...

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Bibliographic Details
Main Authors: Pirzada S., Aijaz M.
Format: Article
Language:English
Published: Sciendo 2020-07-01
Series:Acta Universitatis Sapientiae: Informatica
Subjects:
Online Access:https://doi.org/10.2478/ausi-2020-0006