Computing degree based topological indices of algebraic hypergraphs

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dc.authoridALI, SHAKIR/0000-0001-5162-7522
dc.contributor.authorAlali, Amal S.
dc.contributor.authorSozen, Esra Ozturk
dc.contributor.authorAbdioglu, Cihat
dc.contributor.authorAli, Shakir
dc.contributor.authorEryasar, Elif
dc.date.accessioned2025-03-23T19:41:39Z
dc.date.available2025-03-23T19:41:39Z
dc.date.issued2024
dc.departmentSinop Üniversitesi
dc.description.abstractTopological indices are numerical parameters that indicate the topology of graphs or hypergraphs. A hypergraph H = (V (H), E(H)) consists of a vertex set V (H) and an edge set E(H), where each edge e is an element of E(H) is a subset of V(H) with at least two elements. In this paper, our main aim is to introduce a general hypergraph structure for the prime ideal sum (PIS)- graph of a commutative ring. The prime ideal sum hypergraph of a ring R is a hypergraph whose vertices are all non-trivial ideals of R and a subset of vertices E, with at least two elements is a hyperedge whenever I + J is a prime ideal of R for each non-trivial ideal I, J in E, and E, is maximal with respect to this property. Moreover, we also compute some degree-based topological indices (first and second Zagreb indices, forgotten topological index, harmonic index, Randic index, Sombor index) for these hypergraphs. In particular, we describe some degree-based topological indices for the newly defined algebraic hypergraph based on prime ideal sum for Z(n) where n = p(alpha), pq, p(2)q, p(2)q(2), pqr, p(3)q, p(2)qr, pqrs for the distinct primes p, q, r and s.
dc.description.sponsorshipPrincess Nourah Bint Abdulrahman University (PNU) , Riyadh, Saudi Arabia [PNURSP2024R231]
dc.description.sponsorshipThe authors are very thankful to the anonymous referees for their valuable comments and suggestions, which have improved the manuscript immensely. Moreover, authors extend their appreciation to Princess Nourah Bint Abdulrahman University (PNU) , Riyadh, Saudi Arabia for funding this research under Researchers Supporting Project Number (PNURSP2024R231) .
dc.identifier.doi10.1016/j.heliyon.2024.e34696
dc.identifier.issn2405-8440
dc.identifier.issue15
dc.identifier.pmid39166049
dc.identifier.scopus2-s2.0-85199685188
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.heliyon.2024.e34696
dc.identifier.urihttps://hdl.handle.net/11486/6604
dc.identifier.volume10
dc.identifier.wosWOS:001286495300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherCell Press
dc.relation.ispartofHeliyon
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectCommutative ring
dc.subjectHypergraph
dc.subjectPrime ideal sum hypergraph(PISH)
dc.subjectVertex degree
dc.subjectTopological indices
dc.titleComputing degree based topological indices of algebraic hypergraphs
dc.typeArticle

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