On the Exact Values of HZ-Index for the Graphs under Operations

Dalal Awadh Alrowaili, Saira Javed, Muhammad Javaid and Ali Ahmad

Journal of Mathematics, 2021, vol. 2021, 1-17

Abstract: Topological index (TI) is a function from the set of graphs to the set of real numbers that associates a unique real number to each graph, and two graphs necessarily have the same value of the TI if these are structurally isomorphic. In this note, we compute the HZ−index of the four generalized sum graphs in the form of the various Zagreb indices of their factor graphs. These graphs are obtained by the strong product of the graphs G and DkG, where Dk∈Sk,Rk,Qk,Tk represents the four generalized subdivision-related operations for the integral value of k≥1 and DkG is a graph that is obtained by applying Dk on G. At the end, as an illustration, we compute the HZ−index of the generalized sum graphs for exactly k=1 and compare the obtained results.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/3304939.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/3304939.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:3304939

DOI: 10.1155/2021/3304939

Access Statistics for this article

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