Results 11 to 20 of about 67,131 (272)
On the generalized ABC index of graphs [PDF]
The atom-bond connectivity and the generalized atom-bond connectivity indices have shown to be useful in the QSPR/QSAR researches. In particular, the atom- bond connectivity index has been applied to study the stability of alkanes and the strain energy of cycloalkanes.
Das, Kinkar Chandra +2 more
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The atom-bond connectivity (ABC) index of a graph G is defined as the sum over all pairs of adjacent vertices u;v, of the terms √ (d(u) + d(v) 2)=(d(u)d(v)), where d(v) denotes the degree of the vertex v of the graph G. Whereas the finding of the graphs with the greatest ABC-value is an easy task, the characterization of the graphs with smallest ABC ...
Gutman I. +5 more
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The minimal-ABC trees with B1-branches. [PDF]
The atom-bond connectivity index (or, for short, ABC index) is a molecular structure descriptor bridging chemistry to graph theory. It is probably the most studied topological index among all numerical parameters of a graph that characterize its topology.
Darko Dimitrov +2 more
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Relating the ABC and harmonic indices [PDF]
The atom-bond connectivity (ABC) index is a much-studied molecular structure descriptor, based on the degrees of the vertices of the molecular graph.
Gutman Ivan, Zhong Lingping, Xu Kexiang
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Some Lower and Upper Bounds on the Third ABC Co-index
In this paper, we defined a new index which is called third ABC Coindex.
Revankar, Deepak S. +3 more
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Atom–bond connectivity index of graphs: a review over extremal results and bounds [PDF]
The atom–bond connectivity (ABC) index was introduced in the last quarter of the 1990s to improve the prediction power of the Randić index. Later on, in 2008, the factor √2 was dropped from the original definition of the ABC index, and some additional ...
Akbar Ali +3 more
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Developing a utility index for the Aberrant Behavior Checklist (ABC-C) for fragile X syndrome [PDF]
This study aimed to develop a utility index (the ABC-UI) from the Aberrant Behavior Checklist-Community (ABC-C), for use in quantifying the benefit of emerging treatments for fragile X syndrome (FXS).The ABC-C is a proxy-completed assessment of behaviour and is a widely used measure in FXS. A subset of ABC-C items across seven dimensions was identified
Kerr, C. +7 more
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Maximum Value of the ABC Index of the Edge-Corona Graph of Two Graphs
This paper is concerned with the atom-bond connectivity index (ABC index), defined as ABCG=∑uv∈EGdu+dv−2/dudv, where EG is the edge set of G and du and dv are degrees of vertices u and v, respectively. G1□G2 denotes the edge-corona graph of G1 and G2. In
Haiqin Liu, Yanling Shao
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The Maximal ABC Index of the Corona of Two Graphs [PDF]
Let G 1 ∘
Haiqin Liu, Yanling Shao
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On atom-bond connectivity molecule structure descriptors [PDF]
The atom-bond connectivity index (ABC) is a degree-based molecular structure descriptor with well-documented chemical applications. In 2010 a distance-based new variant of this index (ABCGG) has been proposed. Until now, the relation between ABC
Furtula Boris +2 more
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