Abstract
The atom bond connectivity (ABC) index is one of the recently most investigated degree-based molecular structure descriptors that have applications in chemistry. For a graph G, the ABC index is defined as \( ABC(G) = \sum\nolimits_{uv \in E(G)} {\sqrt {d_{v} + d_{u} - 2/d_{v} \cdot d_{u} } } \), where d u denotes the degree of a vertex u in G. In this paper, we obtain the general formula for ABC index of some special, chemical trees, and bicyclic graphs.
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Mohammed, M.A., Atan, K.A., Khalaf, A.M., Said, M.R.M., Hasni, R. (2017). The Atom Bond Connectivity Index of Some Trees and Bicyclic Graphs. In: Ahmad, AR., Kor, L., Ahmad, I., Idrus, Z. (eds) Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer, Singapore. https://doi.org/10.1007/978-981-10-2772-7_27
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DOI: https://doi.org/10.1007/978-981-10-2772-7_27
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