Journal
MOLECULES
Volume 23, Issue 7, Pages -Publisher
MDPI
DOI: 10.3390/molecules23071731
Keywords
line graph; Cartesian product graph; join graph; atom-bond connectivity index; geometric arithmetic index
Funding
- Applied Basic Research (Key Project) of the Sichuan Province [2017JY0095]
- Sichuan Provincial Department of Education [17ZA0079, 18ZA0118]
- Soft Scientific Research Foundation of Sichuan Provincial Science and Technology Department [18RKX1048]
Ask authors/readers for more resources
The Cartesian product and join are two classical operations in graphs. Let dL(G)(e)be the degree of a vertex ein line graph L(G)of a graph G. The edge versions of atom-bond connectivity (ABCe) and geometric arithmetic (GAe) indices of G are defined as Sigma efE(L(GdL(G)(e)+dL(G)(f)-2dL(G)(e)xdL(G)(f)and dL(G)(e)+dL(G)(f)<, respectively. In this paper, ABCeand GAeindices for certain Cartesian product graphs (such as PnPm, PnCmand PnSm) are obtained. In addition, ABCeand GAeindices of certain join graphs (such as Cm+Pn+Sr, Pm+Pn+Pr, Cm+Cn+Crand Sm+Sn+Sr) are deduced. Our results enrich and revise some known results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
