On ABC4 and GA5 Index of Subdivided and Line Graph of Subdivided Dutch Windmill Graph
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Abstract
Topological indices are the numeric descriptors of a graph which characterizes
its topology and it is structure invariant. Topological indices introduced on
the molecular structure can help material scientists to understand its chemical
and biological features in better and easy way [2, 11, 13 14, 16]. In this pa-
per, we present neighborhood based topological indices of sub-divided Dutch
windmill graph and line graph of subdivided Dutch windmill graph.
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A. R. Ashrafi, Z. T. Dehghan, N. Habibi, Extremal atom-bond connectivity
index of cactus graphs, Commun. Korean Math. Soc. 30 (2015), 283-295
M. Baca, M. Horvathova, J. Mokrisova, M. Semanicova, On topological indices
of Carbon nanotube network, Canadian Journal of Chemistry 93, (2015), 1-4
M. Baca, M. Horvathova, J. Mokrisova, M. Semanicova, On topological indices
of fullerenes, Applied Mathematics and computation 251, (2015), 154 ô€€€ 161
K. C. Das, On geometric-arithmetic index of graphs, MATCH Commun. Math.
Comput. Chem. 64, (2010), 6 ô€€€ 19
D. Dimitrov, On structural properties of trees with minimal atom-bond connectivity
index II: Bounds on and branches, Discrete Appl. Math. 204 (2016),
-116
E. Estrada, L. Torres, L. Rodrguez, and I. Gutman, An Atom-Bond Connectivity
Index Modelling the Enthalpy of Formation of Alkanes, Indian Journal
of Chemistry 37 (1998), 849 ô€€€ 855
E. Estrada, Atom-bond connectivity and the energetic of branched alkanes,
Chem. Phys. Lett. 463, (2008), 422 ô€€€ 425
M. R. Farahani, M. R. Kanna, W. Gao, The Schultz modified Schultz indices
and their polynomials of the Jahangir graphs Jn, m for integer numbers n = 3
m > 3, Asian J Appl Sci 3(6), (2015), 823-827
M. R. Farahani, S. Zafar, M. N. Husin, Z. Zahid, On the Topological Indices
of the Line Graphs of Certain Pantacenic Nanostructures, Pacific Journal of
Applied Mathematics, (2017)
B. Furtula, Atom-bond connectivity index versus Graovac Ghorbani analog,
MATCH Commun. Math. Comput. Chem. 75, (2016), 233-242
M. Ghorbani, M. A. Hosseinzadeh, Computing ABC4 index of nanostar dendrimers
opteolectron, Adv. Mater. Rapid common. 4, (2018), 1419 ô€€€ 1422
A. Graovac, M. Ghorbani, M. A. Hosseinzadeh, Computing fifth geometricarithmetic
index for nanostar dendriners. J. Math. Nanosci 1, (2011), 33 ô€€€ 42
S. Hayat, M. Imaran, Computation of Topological indices of certain networks,
Appl. Math.Comput. 240, (2014), 213 ô€€€ 228
M. Imran, S. Akhter , W. Ga and M.R.Farahani, On topological indices of
honeycomb networks and Graphene, (2018)
M. Imran, W. Gao, M. R. Farahani, On Topological properties of Sierpinski
networks. Chaos solitons Fractals 98, (2017), 199 ô€€€ 204
M. F. Nadeem, S. Zafar, Z. Zahid, On topological properties of the line graph of
subdivision graphs of certain nanostructures, Appl. Math. Comput 272, (2016),
ô€€€ 130
H. Palacios, A resistive upper bound for the ABC index, MATCH common
Math. Comput. Chem. 72, (2014), 709 ô€€€ 713
J. M. Rodzgueza, J. M. Sigarretab, On the Geometric-Arithmetic Index,
MATCH Commun. Math. Comput. Chem. 74, (2015), 103 ô€€€ 120
M. S. Abdelgader, C. Wang and A. Mohammad, Comoputation of Topological
indices of some special graphs, (2018)
H. Wiener, Structural determination of paraffin boiling points, J Am Chem
Soc 69, (1947), 17-20
R. Xing, B. Zhou, Further results on atom bond connectivity index of trees,
discrete applied math 158, (2010), 1536-1545
X. M. Zhang, Y. Yang, H. Wang, X. D. Zhang, Maximum atom-bond connectivity
index with given graph parameters, Discrete Appl. Math. 215, (2016),
-217
L. Zhong, Q. Cui, On a relation between the atom-bond connectivity and the
first geometric arithmetic indices, Discrete Appl. Math 185, (2015), 249-253
B. Zhou, Bounds for the Schultz molecular topological index, MATCH Commun
Math Comput Chem 56, (2006), 189-194