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Computing Topological Descriptors of Prime Ideal Sum Graphs of Commutative Rings
Ist Teil von
Symmetry (Basel), 2023-11, Vol.15 (12), p.2133
Ort / Verlag
MDPI AG
Erscheinungsjahr
2023
Link zum Volltext
Quelle
Electronic Journals Library
Beschreibungen/Notizen
Let 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=pα,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.