Results 201 to 210 of about 5,307,048 (221)
On Atom-Bond Connectivity Index
Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2011 The atom-bond connectivity index (ABC) is a vertex-degree based graph invariant, put forward in the 1990s, having applications in chemistry. Let G = (V, E) be a graph, di the degree of its vertex i, and ij the edge connecting the vertices i and j.
Bo Zhou, Rundan Xing
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Atom-bond connectivity index of graphs [PDF]
Discrete Applied Mathematics, 2010 The recently introduced atom-bond connectivity (ABC) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al.
Kinkar Chandra Das
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A Variant of Atom Bond Sum Connectivity Index
Match Communications in Mathematical and in Computer ChemistrySummary: Topological index is a numerical graph invariant derived from molecular graph. The atom bond sum connectivity index drew a lot of interest from chemical graph theorists in a short period of time. Nowadays, the degree sum of a vertex's first neighbors is recognized as a useful parameter in chemical graph theory. Keeping these two facts in mind,
Yasin H, Mohammed +2 more
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Multiplicative Atom Bond Sum Connectivity Index of Certain Nanotubes
Annals of Pure and Applied Mathematics, 2023We put forward the multiplicative atom bond sum connectivity index of a graph. We determine the atom bond sum connectivity index and the multiplicative atom bond sum connectivity index for some chemical nanostructures such as armchair polyhex nanotubes, zigzag polyhex nanotubes and carbon nanocone networks.
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Bounds for the Atom-Bond Sum-Connectivity Index of Graphs
Match Communications in Mathematical and in Computer ChemistrySummary: The \textit{atom-bond sum-connectivity} \((ABSC)\) index of a graph \(G\) is defined as \(ABSC(G)=\sum\limits_{uv\in E(G)}\sqrt\frac{d_u +d_v -2}{d_u +d_v}\), where \(d_u\) and \(d_v\) represent the degrees of \(u\) and \(v\) in \(G\), respectively.
Hussain, Zaryab +2 more
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Maximum Atom Bond Sum Connectivity Index of Cacti
The atom-bond sum-connectivity (ABS) index of a graph is a variant of several well-known chemical topological indices, such as the randi´c index, the sum-connectivity index and the atom-bond connectivity index. For a graph G = (V (G), E(G)), the ABS index of G is defined as <div>   ...Fangxia Wang +3 more
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Some upper bounds for the atom–bond connectivity index of graphs [PDF]
Applied Mathematics Letters, 2012 The recently introduced atom–bond connectivity (ABC) index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes. Furtula et al.
Chen, Jinsong +2 more
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Maximum Atom-Bond Sum-Connectivity Index in Unicyclic Graphs of Fixed Girth
Match Communications in Mathematical and in Computer ChemistrySummary: The \(ABS\) (atom-bond sum-connectivity) index of a graph \(G\) is given by the formula: \[ ABS(G) = \sum\limits_{xy\in E(G)} \sqrt{\dfrac{d_x+d_y -2}{d_x +d_y}}, \] where \(d_x\) denotes the degree of vertex \(x\) in the graph \(G\). The primary objective of this research paper is to identify the maximum, and second-maximum \(ABS\) index ...
Nithya, Palaniyappan +3 more
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Maximum Atom Bond Sum Connectivity Index of Molecular Trees with a Perfect Matching
Match Communications in Mathematical and in Computer ChemistrySummary: \textit{A. Ali} et al. [J. Math. Chem. 60, No. 10, 2081--2093 (2022; Zbl 1498.05065)] introduced a new type of vertex-degree-based topological indices of a graph which is called as atom-bond sum-connectivity (ABS) index. For a graph \(G=(V(G), E(G))\), the ABS index of \(G\) is defined as \[ ABS(G) = \sum_{uv\in E(G)}\sqrt{1 - \frac{2}{d_G(u) +
Wang, Fangxia +3 more
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Minimizing the General Atom-Bond Sum-Connectivity Index of Unicyclic Graphs
Journal of applied mathematics and computing. International journalThis paper gives the characterization of those graphs that minimize the general atom- bond sum-connectivity index ABS ȷ among all fixed-order unicyclic graphs of a given maximum degree for 1 ≤ ȷ < 2. It is also proved that the cycle graph uniquely minimizes the aforementioned index in the class of all fixed-order unicyclic graphs.
Akbar Ali +4 more
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