The atom-bond connectivity index of chemical bicyclic graphs

DOI10.1007/s11766-012-2756-4zbMath1265.05354OpenAlexW2336736498MaRDI QIDQ1931155

Jinsong Chen, Xiaofeng Guo

Publication date: 24 January 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2756-4

zbMATH Keywords

boundatom-bond connectivity indexchemical bicyclic graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Connectivity (05C40) Vertex degrees (05C07)

Related Items (10)

On structural properties of trees with minimal atom-bond connectivity index. II: Bounds on \(B_1\)- and \(B_2\)-branches ⋮ Complete characterization of the minimal-ABC trees ⋮ The ABC Index Conundrum's Complete Solution ⋮ The atom-bond connectivity index of catacondensed polyomino graphs ⋮ On structural properties of trees with minimal atom-bond connectivity index ⋮ Further properties of trees with minimal atom-bond connectivity index ⋮ On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three ⋮ A solution of the conjecture about big vertices of minimal-ABC trees ⋮ On atom bond connectivity index of some molecular graphs ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds

Cites Work

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• On atom-bond connectivity index of connected graphs
• On incidence energy of a graph
• The exponent in the general Randić index
• Atom-bond connectivity index of trees
• On the Randić index of acyclic conjugated molecules
• Series expansion of the directed percolation probability

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