On Atom-Bond Connectivity Index
2011 ◽
Vol 66
(1-2)
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pp. 61-66
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Keyword(s):
The atom-bond connectivity (ABC) index, introduced by Estrada et al. in 1998, displays an excellent correlation with the formation heat of alkanes. We give upper bounds for this graph invariant using the number of vertices, the number of edges, the Randi´c connectivity indices, and the first Zagreb index. We determine the unique tree with the maximum ABC index among trees with given numbers of vertices and pendant vertices, and the n-vertex trees with the maximum, and the second, the third, and the fourth maximum ABC indices for n ≥ 6.
2016 ◽
Vol 24
(1)
◽
pp. 153-176
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2016 ◽
Vol 31
◽
pp. 167-186
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2014 ◽
Vol 45
◽
pp. 147-151
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2016 ◽
Vol 13
(1)
◽
pp. 11-15
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2021 ◽
Vol 4
(2)
◽
pp. 11-16
2016 ◽
Vol 4
(2)
◽
pp. 47
◽
Keyword(s):
2019 ◽
Vol 11
(05)
◽
pp. 1950054
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Keyword(s):