Results 1 to 10 of about 4,295,439 (185)
Inequalities on the Generalized ABC Index [PDF]
Mathematics, 2021 In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić index. Some of these inequalities for ABCα improved, when α=1/2, known results on the ABC index. Moreover, in order to obtain our results,
Paul Bosch +3 more
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Computing multiple ABC index and multiple GA index of some grid graphs [PDF]
Open Physics, 2018 Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness.
Gao Wei +3 more
doaj +3 more sources
ABC Index: quantifying experienced burden of COPD in a discrete choice experiment and predicting costs. [PDF]
BMJ Open, 2017 Objective The Assessment of Burden of COPD (ABC) tool supports shared decision making between patient and caregiver. It includes a coloured balloon diagram to visualise patients’ scores on burden indicators.
Goossens LMA +10 more
europepmc +7 more sources
On the maximum ABC index of bipartite graphs without pendent vertices [PDF]
Open Chemistry, 2020 For a simple graph G, the atom–bond connectivity index (ABC) of G is defined as ABC(G) = ∑uv∈ E(G)d(u)+d(v)−2d(u)d(v), $\sum_{uv\in{}E(G)} \sqrt{\frac{d(u)+d(v)-2}{d(u)d(v)}},$where d(v) denotes the degree of vertex v of G.
Shao Zehui +4 more
doaj +3 more sources
Some lower and upper bounds on the third ABC index
AKCE International Journal of Graphs and Combinatorics, 2016 Atom-bond connectivity (ABC) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes. Graovac defined the second ABC index as ABC2(G)=∑vivj∈E(G)1ni+1nj−2ninj, and Kinkar studied the upper bounds.
Dae-Won Lee
doaj +3 more sources
On the Maximum ABC Index of Graphs With Prescribed Size and Without Pendent Vertices
IEEE Access, 2018 The atom-bond connectivity (ABC) index is one of the most actively studied degree-based graph invariants, which are found in a vast variety of chemical applications. For a simple graph G, it is defined as ABC(G) = Σuv∈E(G)((d(u) + d(v) - 2)/
Zehui Shao +4 more
doaj +3 more sources
ABC Index Analysis: Physical Properties of Prenylated Xanthone
Jurnal DiferensialXanthone is a heterocyclic compound with various substituents (hydroxy, prenyl, geranyl, methoxy, halogens, and others). The presence of these substituents contributes to diverse biological activities, including anticancer, antidiabetic, and antioxidant
Lia Fitta Pratiwi +3 more
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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.
K. Das +2 more
semanticscholar +3 more sources
The ABC Index Conundrum's Complete Solution
Match - Communications in Mathematical and in Computer Chemistry, 2023 The problem of complete characterization of trees with minimal atom-bond-connectivity index (minimal-ABC trees) has a reputation as one of the most challenging and intriguing open problems in mathematical chemistry.
Darko Dimitrov, Zhibin Du
semanticscholar +2 more sources
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 ...
I. Gutman +5 more
semanticscholar +4 more sources