1 research outputs found
On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices
The atom-bond-connectivity (ABC) index is one of the well-investigated
degree-based topological indices. The atom-bond sum-connectivity (ABS) index is
a modified version of the ABC index, which was introduced recently. The primary
goal of the present paper is to investigate the difference between the
aforementioned two indices, namely . It is shown that the difference
is positive for all graphs of minimum degree at least as well as
for all line graphs of those graphs of order at least that are different
from the path and cycle graphs. By means of computer search, the difference
is also calculated for all trees of order at most .Comment: 16 pages and 5 figure