Forgotten Topological and Wiener Indices of Prime Ideal Sum Graph of Zn

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dc.authoridABDIOGLU, Cihat/0000-0002-7874-2392
dc.authoridEryasar, Elif/0000-0002-9852-6662
dc.authoridozturk sozen, esra/0000-0002-2632-2193
dc.contributor.authorSozen, Esra Ozturk
dc.contributor.authorEryasar, Elif
dc.contributor.authorAbdioglu, Cihat
dc.date.accessioned2025-03-23T19:27:13Z
dc.date.available2025-03-23T19:27:13Z
dc.date.issued2024
dc.departmentSinop Üniversitesi
dc.description.abstractBackground: Chemical graph theory is a sub-branch of mathematical chemistry, assuming each atom of a molecule is a vertex and each bond between atoms as an edge. Objective: Owing to this theory, it is possible to avoid the difficulties of chemical analysis because many of the chemical properties of molecules can be determined and analyzed via topological indices. Due to these parameters, it is possible to determine the physicochemical properties, biological activities, environmental behaviours and spectral properties of molecules. Nowadays, studies on the zero divisor graph of Z(n) via topological indices is a trending field in spectral graph theory. Methods: For a commutative ring R with identity, the prime ideal sum graph of R is a graph whose vertices are nonzero proper ideals of R and two distinctvertices I and J are adjacent if and only if I+J is a prime ideal of R. Results: In this study the forgotten topological index and Wiener index of the prime ideal sum graph of Z(n) are calculated for n=p(alpha), pq, p(2)q, p(2)q(2), pqr, p(3)q, p(2)qr, pqrs where p,q,r and s are distinct primes and a Sage math code is developed for designing graph and computing the indices. Conclusion: In the light of this study, it is possible to handle the other topological descriptors for computing and developing new algorithms for next studies and to study some spectrum and graph energies of certain finite rings with respect to PIS-graph easily.
dc.identifier.doi10.2174/1570179420666230606140448
dc.identifier.endpage245
dc.identifier.issn1570-1794
dc.identifier.issn1875-6271
dc.identifier.issue3
dc.identifier.pmid37282655
dc.identifier.scopus2-s2.0-85187112664
dc.identifier.scopusqualityQ3
dc.identifier.startpage239
dc.identifier.urihttps://doi.org/10.2174/1570179420666230606140448
dc.identifier.urihttps://hdl.handle.net/11486/4868
dc.identifier.volume21
dc.identifier.wosWOS:001200782900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherBentham Science Publ Ltd
dc.relation.ispartofCurrent Organic Synthesis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectAlgorithm
dc.subjectchemical graph theory
dc.subjectforgotten topological index
dc.subjectprime ideal sum graph
dc.subjecttopological descriptor
dc.subjectwiener index
dc.titleForgotten Topological and Wiener Indices of Prime Ideal Sum Graph of Zn
dc.typeArticle

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