On atom-bond connectivity index

Kinkar Ch Das; Ivan Gutman; Boris Furtula

doi:10.2298/FIL1204733D

On atom-bond connectivity index

Kinkar Ch Das, Ivan Gutman, Boris Furtula

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

The atom-bond connectivity index (ABC) is a vertex-degree based graph invariant, put forward in the 1990s, having applications in chemistry. Let G = (V, E) be a graph, di the degree of its vertex i, and ij the edge connecting the vertices i and j. Then ABC =Σ_{ij{small element of}E}√(d_i + d_j-2)/(di dj). Upper bounds and Nordhaus-Gaddum type results for ABC are established.

Original language	English
Pages (from-to)	733-738
Number of pages	6
Journal	Filomat
Volume	26
Issue number	4
DOIs	https://doi.org/10.2298/FIL1204733D
State	Published - Nov 2012

Keywords

ABC index
Nordhaus-Gaddum type relations
Vertex-degree-based graph invariant

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10.2298/FIL1204733D

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KW - Nordhaus-Gaddum type relations

KW - Vertex-degree-based graph invariant

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On atom-bond connectivity index

Abstract

Keywords

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