Sombor Index over the Tensor and Cartesian Products of Monogenic Semigroup Graphs

Küçük Resim Yok

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Mdpi

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Consider a simple graph G with vertex set V(G) and edge set E(G). A graph invariant for G is a number related to the structure of G, which is invariant under the symmetry of G. The Sombor index of G is a new graph invariant defined as SO(G)=SO(G) = Sigma uv is an element of E(G)root(d(u))(2)Op + (d(v))(2) + (d(v))(2). In this work, we connected the theory of the Sombor index with abstract algebra. We computed this topological index over the tensor and Cartesian products of a monogenic semigroup graph by presenting two different algorithms; the obtained results are illustrated by examples.

Açıklama

Anahtar Kelimeler

monogenic semigroups, graphs, tensor product, Cartesian product, indices

Kaynak

Symmetry-Basel

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

14

Sayı

5

Künye