Computing Topological Descriptors of Prime Ideal Sum Graphs of Commutative Rings
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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=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.
Açıklama
Anahtar Kelimeler
topological index, topological coindex, prime ideal sum (PIS) graph, complement of a graph, M-polynomial, CoM-polynomial
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
15
Sayı
12
