Öztüerk Sözen, EsraAlsuraiheed, TurkiAbdioğlu, CihatAli, Shakir2024-01-222024-01-222023Öztürk Sözen, E.; Alsuraiheed, T.; Abdioglu, C.; Ali, S.(2023). Computing topological descriptors of prime ıdeal sum graphs of commutative rings. Symmetry, 15, 2133. https://doi.org/10.3390/ sym151221332073-8994https://doi.org/10.3390/sym15122133https://hdl.handle.net/11492/7987Let 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.enTopological IndexTopological CoindexPrime İdeal Sum (PIS) GraphComplement of a GraphM-polynomialCoM-polynomialArticle1512info:eu-repo/semantics/openAccess2-s2.0-85180638545WOS:00113538220000110.3390/sym15122133Q1Q2