Abstract:
The study of Parikh word representable graphs
$G(w)$ related to words
$w$
that are finite sequence of symbols has been developed in the recent years.
On
the other hand, several topolgical indices have been defined in terms of graph
parameters and studied for different class of graphs.
In this paper, we obtain
formulas for first and second Zagreb index of Parikh word representable
graphs with binary core word
$aub$
over alphabets
$a,b$.
Also, we obtain
formulas for the reduced first and second Zagreb indices, forgotten topological
index, reduced forgotten topological index, and hyper-Zagreb index.
Keywords:Parikh word, word representable graphs, Zagreb index, forgotten topological
index, hyper-Zagreb index.
