Graph-theoretic characterization of rings: Outer multiset dimension of compressed zero-divisor graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258507" target="_blank" >RIV/61989100:27740/25:10258507 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2090447925004344?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447925004344?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2025.103693" target="_blank" >10.1016/j.asej.2025.103693</a>

Result language
angličtina
Original language name
Graph-theoretic characterization of rings: Outer multiset dimension of compressed zero-divisor graphs
Original language description
This paper investigates the outer multiset dimension (OMSD) of compressed zero-divisor graphs (CZDGs) associated with finite commutative rings (CRs). For a given ring A, the classical zero-divisor graph (ZDG) is refined by compressing its nodes based on shared annihilator ideals. We explore how this construction impacts the OMSD, providing both theoretical characterizations and computational results across various classes of rings. The study reveals strong connections between OMSD and classical graph parameters such as girth and diameter.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
21100 - Other engineering and technologies

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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