ABC_{4} and GA_{5} Indices of Para-Line Graph of Some Convex Polytope

Foruzanfar, Zeinab; Asif, Fatima; Zahid, Zohaib; Zafar, Sohail; Farahani, Mohammad Reza

doi:10.19139/soic.v7i1.346

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…The fifth geometric-arithmetic index was firstly computed for nanostar dendrimers 22 , followed by circumcoronene series 12 , zig-zag polyhex nanotubes and nanostars 13 , T URC4C8(S) nanotube 14 , armchair polyhex nanotubes 15 and polyaromatic hydrocarbons 1 . Beside that this index was computed for naphtalenic nanosheet [4n, 2m] 3 , fan and wheel molecular graphs 19 , bridge and carbon nanocones 20 and just recently for para-line graphs in convex polytopes 17 .…”

Section: The Fifth Geometric-arithmetic Index and Some Other Distance...mentioning

confidence: 99%

Fifth Geometric--Arithmetic Index VS Atom--Bond Connectivity Index and Heat of Formation

Črepnjak¹,

Pleteršek²

2019

Preprint

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The geometric-arithmetic indices are widely considered in the chemical graph theory in the last decade. The reason of introducing new indices is to gain prediction of target properties of considered molecules that is better than the prediction obtained by already known indices. In the case of the fifth geometric-arithmetic index hitherto no ability of prediction of some molecule property has been considered.In this paper we investigate correlations between the fifth geometric-arithmetic index and some other degree-based topological indices on the family of octane isomers and polyaromatic hydrocarbons. Since a very good correlation is established with the well known atom-bond connectivity index for polyaromatic hydrocarbons and then for the alkane series, the relation between the heat of formation and the fifth geometricarithmetic index is examined and a good correlation is confirmed in that case as well.

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Section: The Fifth Geometric-arithmetic Index and Some Other Distance...mentioning

confidence: 99%

Fifth Geometric--Arithmetic Index VS Atom--Bond Connectivity Index and Heat of Formation

Črepnjak¹,

Pleteršek²

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…The subdivision S(G) of a graph G can be obtained by replacing each edge of G by a path of length 2. Further details on the topological indices of L(S(G)) can be viewed in the articles (see [3,9,10,21,23,24]). From this motivational work, we calculate the topological indices of line graph of subdivision of Jahangir graph, Banana Tree graph and Firecracker graph.…”

Section: Introductionmentioning

confidence: 99%