On Generalized Atom-Bond Connectivity Index of Cacti

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HAYAT FAZAL

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Journal Paper

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Journal: Iranian Journal of Mathematical Chemistry Year:2019 | Volume:10 | Issue:4 Page(s): 319-330

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Title

On Generalized Atom-Bond Connectivity Index of Cacti

Author(s)

HAYAT FAZAL | Issue Writer Certificate

Keywords

Atom-bond connectivity index

Cactus graph

Extremal graph

Pendant vertices

Abstract

The generalized Atom-bond connectivity index of a graph G is denoted by ABCa(G) and defined as the sum of weights ((d(u)+d(v)-2)/d(u)d(v))aa$ over all edges uv∊ G. A cactus is a graph in which any two cycles have at most one common vertex. In this paper, we compute sharp bounds for ABCa index for cacti of order $n$ with fixed number of cycles and for cacti of order $n$ with given number of Pendant vertices. Furthermore, we identify all the cacti that achieve the bounds.

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APA: Copy

HAYAT, FAZAL. (2019). On Generalized Atom-Bond Connectivity Index of Cacti. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 10(4), 319-330. SID. https://sid.ir/paper/660200/en

Vancouver: Copy

HAYAT FAZAL. On Generalized Atom-Bond Connectivity Index of Cacti. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2019;10(4):319-330. Available from: https://sid.ir/paper/660200/en

IEEE: Copy

FAZAL HAYAT, “On Generalized Atom-Bond Connectivity Index of Cacti,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 10, no. 4, pp. 319–330, 2019, [Online]. Available: https://sid.ir/paper/660200/en

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