Publication: On the maximal general ABC index of graphs with given maximum degree
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2020-12-01
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Elsevier
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Abstract
The atom-bond connectivity index ABC is a topological index that has recently found remarkable applications in the study of the strain energy of cycloalkanes as well as in rationalizing the stability of linear and branched alkanes. In order to improve the correlation
properties of the atom-bond connectivity index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely,
ABCα = ABCα (G) =
uv∈E(G)
du + dv − 2
dudv
α
for any α ∈ R \ {0},
where dv is the degree of the vertex v and uv denotes the edge connecting the vertices
u and v of graph G. Here, we obtain some optimization results for ABCα of the connected
graph G.
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Keywords
Optimization problems, ABC Index, Generalized ABC index, Degree-based topological indices
Bibliographic citation
Das, K. C., Rodríguez, J. M. & Sigarreta, J. M. (2020). On the maximal general ABC index of graphs with given maximum degree. Applied Mathematics and Computation, 386, 125531.