Geodesic
On the Difference Between Atom-Bond Sum-Connectivity and Sum-Connectivity Indices
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022), p. 55

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The atom-bond sum-connectivity index $ABS$ is a recently introduced vertex-degree-based graph invariant, defined as the sum over all pairs of adjacent vertices $u,v$ of the term $\sqrt{(d_u+d_v-2)/(d_u+d_v)}$, where $d_u$ is the degree of the vertex $u$. A much older such invariant, the sum-connectivity index $SC$, is defined via $\sqrt{(1/(d_u+d_v)}$. We study the difference between $ABS$ and $SC$ and establish various bounds for it, in terms several vertex-degree-based graph invariants.
Classification : 05C07, 05C09
Keywords: vertex-degree-based graph invariant, sum-connectivity index, atom-bond, sum-connectivity index 
Kalkere Jayanna Gowtham; Ivan Gutman. On the Difference Between Atom-Bond Sum-Connectivity and Sum-Connectivity Indices. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022), p. 55 . http://geodesic.mathdoc.fr/item/BASS_2022_47_a3/
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