Computing Topological Descriptors of Prime Ideal Sum Graphs of Commutative Rings

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dc.authoridALI, SHAKIR/0000-0001-5162-7522
dc.authoridozturk sozen, esra/0000-0002-2632-2193
dc.authoridABDIOGLU, Cihat/0000-0002-7874-2392
dc.contributor.authorOzturk Sozen, Esra
dc.contributor.authorAlsuraiheed, Turki
dc.contributor.authorAbdioglu, Cihat
dc.contributor.authorAli, Shakir
dc.date.accessioned2025-03-23T19:26:15Z
dc.date.available2025-03-23T19:26:15Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractLet n >= 1 be a fixed integer. The main objective of this paper is to compute some topological indices and coindices that are related to the graph complement of the prime ideal sum (PIS) graph of Zn, where n=p alpha,p2q,p2q2,pqr,p3q,p2qr, and pqrs for the different prime integers p,q,r, and s. Moreover, we construct M-polynomials and CoM-polynomials using the PIS-graph structure of Zn to avoid the difficulty of computing the descriptors via formulas directly. Furthermore, we present a geometric comparison for representations of each surface obtained by M-polynomials and CoM-polynomials. Finally, we discuss the applicability of algebraic graphs to chemical graph theory.
dc.description.sponsorshipKing Saud University, College of Science, Riyadh, Saudi Arabia; King Saud University; College of Science; TUBITAK
dc.description.sponsorshipThe authors would like to thank the reviewers for their valuable suggestions and useful comments, which helped us improve the presentation of the manuscript. Moreover, the authors extend their appreciation to King Saud University, the College of Science for funding this research and gratefully acknowledge the TUBITAK for technical and financial support.
dc.identifier.doi10.3390/sym15122133
dc.identifier.issn2073-8994
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85180638545
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.3390/sym15122133
dc.identifier.urihttps://hdl.handle.net/11486/4668
dc.identifier.volume15
dc.identifier.wosWOS:001135382200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjecttopological index
dc.subjecttopological coindex
dc.subjectprime ideal sum (PIS) graph
dc.subjectcomplement of a graph
dc.subjectM-polynomial
dc.subjectCoM-polynomial
dc.titleComputing Topological Descriptors of Prime Ideal Sum Graphs of Commutative Rings
dc.typeArticle

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