The atom bond connectivity index of some trees and bicyclic graphs
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)=∑uv∈E(G)√dv+du−2/dv⋅du, where d u denotes the degree of a vertex u in G. In this paper,...
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| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Springer
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60421/1/The%20atom%20bond%20connectivity%20index%20of%20some%20trees%20and%20bicyclic%20graphs.pdf http://psasir.upm.edu.my/id/eprint/60421/ |
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| Summary: | 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)=∑uv∈E(G)√dv+du−2/dv⋅du, 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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