Szeged and vertex PI Index of Graphs over Modules

Document Type : Research Articles

Authors

¹ Department of Mathematics, Payame Noor University (PNU), Tehran&lrm;, &lrm;Iran

² Dept. of Math. Payam-e-Noor University, Tehran, Iran

10.22080/cjms.2024.27850.1721

Abstract

‎If we have a commutative ring

R

and it is identified as

1 \neq 0

there is an

R

-module

M

‎, ‎

G_{R} (M)

will denote the Scalar product graph of

M

‎. ‎Vertices of

G_{R} (M)

are elements of

M

‎, ‎and

a

‎, ‎

b

M

are adjoining if

a = r b

b = r a

for some

r \in R

‎. ‎In this paper‎, ‎we investigate topological indices of the Scalar product graphs on some modules‎.

Keywords

Main Subjects