Results 11 to 20 of about 3,829,561 (285)

The ABC index conundrum

Filomat, 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., Furtula, Boris, Ahmadi M., Hosseini S., Salehi Nowbandegani P., Zarrinderakht M.   +5 more
openaire   +4 more sources

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

, 2018
In this paper, we defined a new index which is called third ABC Coindex.
Revankar, Deepak S., Hande, Priyanka S., Hande, Satish P., Teli, Vijay   +3 more
openaire   +2 more sources

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

Journal 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

On the generalized ABC index of graphs [PDF]

match 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, Rodríguez García, José Manuel, Sigarreta Almira, José María   +2 more
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The Maximal ABC Index of the Corona of Two Graphs [PDF]

Mathematical Problems in Engineering, 2021
Let G 1 ∘
Haiqin Liu, Yanling Shao
openaire   +1 more source

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

PLoS 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, Zhibin Du, Carlos M da Fonseca   +2 more
doaj   +1 more source

On atom-bond connectivity molecule structure descriptors [PDF]

Journal 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, Gutman Ivan, Das Kinkar Ch.   +2 more
doaj   +1 more source

Relating the ABC and harmonic indices [PDF]

Journal 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   +1 more source

ABC-AF-Stroke score predicts thromboembolism in non-anticoagulated patients following successful atrial fibrillation ablation: a report from the Chinese Atrial Fibrillation Registry

Chinese Medical Journal, 2023
. Background:. The age, biomarkers, and clinical history (ABC)-atrial fibrillation (AF)-Stroke score have been proposed to refine stroke risk stratification, beyond what clinical risk scores such as the CHA2DS2-VASc score can offer.
Yufeng Wang, Chao Jiang, Liu He, Xin Du, Xueyuan Guo, Ribo Tang, Caihua Sang, Deyong Long, Jianzeng Dong, Ziad Hijazi, Gregory Y.H. Lip, Changsheng Ma, Rongman Jia, Xiuyuan Hao   +13 more
doaj   +1 more source

Remarks on Multiplicative Atom-Bond Connectivity Index

IEEE Access, 2019
The atom-bond connectivity (ABC) index is one of the most actively studied degree-based graph invariants that are found in a vast variety of chemical applications.
Riste Skrekovski, Darko Dimitrov, Jiemei Zhong, Hualong Wu, Wei Gao   +4 more
doaj   +1 more source