In this paper we study some degree based topological descriptors namely Randic index, General Randic index, Modified Randic index, Arithmetic Geometric index, Geometric Arithmetic index, Inverse sum index, Sum connectivity index, Forgotten topological index, Symmetric division degree index for corona, Cartesian and lexicographical products of complete graphs of order n and m. These graphical invariant is a number related to a graph which is structurally invariant and in chemical graph theory they are also known as topological indices.

1.
Anitha
J.
,
Maheswari
B.
, “
Total edge dominating functions of corona product graph of a Cycle with a complete graph
”,
12
(
2019
),
12
16
.
2.
De
N.
,
Nayeem
S. M. A
, and
Pal
A.
, “
F-index of some graph operations
”,
Discrete Math. Alg. Appl.,
(
2016
).
3.
Furtula
B
,
Gutman
I
, “
Forgotten topological index
”.,
J. Math. Chem.
,
53
, (
2015
).
4.
Furtula
B.
,
Das
K. C.
, and
Gutman
I.
, “
Comparative analysis of symmetric division deg index as potentially useful molecular descriptor
”,
Int J Quantum Chem.,
(
2018
),
5.
Gutman
I.
,
Trinajstić
N.
, “
Graph theory and molecular orbitals. Total π-electron energy of alter-nant hydrocarbons
”,
Chem. Phys. Lett.
17
(
4
) (
1972
)
535
538
.
6.
Gutman
I.
, “
Degree-based topological indices
Croat. Chem. Acta,
86
(
4
) (
2013
),
351
361
.
7.
Harary
F.
, “
Graph theory
”,
Narosa Publishing House,
New Delhi
,
1969
.
8.
Hosamani
S.
,
Perigidad
D.
,
Maled
S.J.Y
, and
Gavade
S.
, “
QSPRAnalysisof Certain Degree Based Topological Indices
”,
J. Stat. Appl. Pro.,
6
,(
2
), (
2017
),
1
11
.
9.
Randic
M.
, “
On characterization of Molecular branching
”.,
J. Am. Chem. Soc
(
1975
)
97
(
23
).,
6609
6615
.
10.
Trinajstic
N.
, “
Chemical graph theory
”,
CRC Press, Bo Ca Raton, FL
(
1992
).
11.
Yukicevic
D.
and
Gasperov
M.
, “
Bondaddtitive modelying 1. Adriatic indices
”,
Croat.Chem.Acta
83
(
2010
),
243
260
.
12.
Yukicevic
D.
Bondaddtitive modelying 2.mathematical propertices of max-min rodeg index
”,
Croat.Chem.Acta
54
(
2010
),
261
273
.
13.
Wei
Gao
,
Weifan
wang
and
Farahani
M.R.
, “
Topological indices study of molecular structure in Anticancer drugs
”,
Journal of chemistry.,
(
2016
).
14.
Xiujun
Zhang
,
Huiqin
Jiang
,
Jia-Bao-Liu
, and
Zehui
Shao
, “
The Cartesian product and Join graphs on edge-version atom-bond connectivity and geometric arithmetic indices
”,
molecules.,
23
, (
2018
),
1
15
.
15.
Zhou
,
N.
Trinajstic
., “
On novel connectivity index
”.,
J. Math, chem.,
46
,
2009
,
1252
1270
.
This content is only available via PDF.
You do not currently have access to this content.