Chemistry Reference
In-Depth Information
Fig. 7.26
The dendrimer
graph D
0
Fig. 7.27
The dendrimer
graph
D
1,
k
vertices have numbers 4,5,
...
, 9. It is easy to see that,
D
d
,
k
is the rooted product of
D
0
by the sequence
{
B
d
,
k
+
1
,
B
d
,
k
+
1
,
B
d
,
k
+
1
,
K
1
,
K
1
,
.
..
,
K
1
}
. So by Corollary 7.5.4,
6
times
we can get the following relations for the first and second Zagreb indices of the
dendrimer graph
D
d
,
k
,
k
≥
1,
Corollary 7.5.23
The first and second Zagreb indices of the dendrimer graph
D
d
,
k
,
k
≥
1, are given by:
Fig. 7.28
The dendrimer graphs
D
d
,
k
, for d
=
2, k
=
1,2,3
