Degree-Based Topological Indices of the Jacobson Graph of Zm×Zn×Zr

Ndago F. Omondi and Laithun Boro

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: Let R be a commutative ring with unity. The Jacobson graph IR of R is an undirected simple graph whose vertex set is R\JR, where JR is a Jacobson ideal of R, and for any distinct vertices x,y∈R\JR are adjacent if and only if 1−xy is not a unit of R. In this paper, we compute the degree-based topological indices of the Jacobson graph such as the first and second Zagreb Indices, Product Connectivity Index, Sum Connectivity Index, Atom-Bond-Connectivity Index, Randic Index, Sombor Index, Geometric–Arithmetic Index and the Arithmetic–Geometric Index.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/9453123.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/9453123.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9453123

DOI: 10.1155/jom/9453123

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().