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Atom-bond connectivity index of quasi-tree graphs. (English) Zbl 1306.05126

Summary: The atom-bond connectivity index is a useful graph invariant suitable for stability of alkanes and the strain energy of cycloalkanes. In this paper, the first, second and third maximum of this topological index in the class of all quasi-tree graphs are computed.

MSC:

05C40 Connectivity
05C05 Trees
05C90 Applications of graph theory
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
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