Results 11 to 20 of about 67,131 (272)

On the generalized ABC index of graphs [PDF]

open access: yesmatch Communications in Mathematical and in Computer Chemistry, 2021
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
openaire   +4 more sources

The ABC index conundrum

open access: yesFilomat, 2013
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
openaire   +4 more sources

The minimal-ABC trees with B1-branches. [PDF]

open access: yesPLoS ONE, 2018
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
doaj   +2 more sources

Relating the ABC and harmonic indices [PDF]

open access: yesJournal of the Serbian Chemical Society, 2014
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
doaj   +3 more sources

Some Lower and Upper Bounds on the Third ABC Co-index

open access: yes, 2018
In this paper, we defined a new index which is called third ABC Coindex.
Revankar, Deepak S.   +3 more
openaire   +2 more sources

Atom–bond connectivity index of graphs: a review over extremal results and bounds [PDF]

open access: yesDiscrete Mathematics Letters, 2021
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
doaj   +2 more sources

Developing a utility index for the Aberrant Behavior Checklist (ABC-C) for fragile X syndrome [PDF]

open access: yesQuality of Life Research, 2014
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
openaire   +6 more sources

Maximum Value of the ABC Index of the Edge-Corona Graph of Two Graphs

open access: yesJournal of Mathematics
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
doaj   +2 more sources

The Maximal ABC Index of the Corona of Two Graphs [PDF]

open access: yesMathematical Problems in Engineering, 2021
Let G 1 ∘
Haiqin Liu, Yanling Shao
openaire   +1 more source

On atom-bond connectivity molecule structure descriptors [PDF]

open access: yesJournal of the Serbian Chemical Society, 2016
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
doaj   +1 more source

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