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Open Access Research Article

Generalization geodetic number idealization ring

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pp. 1957–1963Vol. 29Issue 5May 2026DOI: 10.47974/JDMSC-2375 Crossmark XML
Received:
01 May 2025
Published Online:
22 May 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2375
Pages:
1957–1963

Abstract

This paper introduces m-geodetic graphs as a new concept and gives complete characterizations of perfectly m-geodetic zero-divisor graphs. Additionally, it provides necessary and sufficient conditions in various cases. Results of this kind are important in deepening our understanding of the structural properties of any given zero divisor graph associated with an idealization ring numbers in these structures. 

Keywords

Subject Classifications

Primary 05CXXSecondary 05C38

References

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