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Two-tree graphs with minimum sum-connectivity index
Discrete Mathematics, Algorithms and Applications, 2020The sum-connectivity index of a graph [Formula: see text] is defined as the sum of weights [Formula: see text] over all edges [Formula: see text] of [Formula: see text], where [Formula: see text] and [Formula: see text] are the degrees of the vertices [Formula: see text] and [Formula: see text] in [Formula: see text], respectively.
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Sharp lower bounds on the sum-connectivity index of trees
Discrete Mathematics, Algorithms and Applications, 2021The sum-connectivity index of a graph [Formula: see text] is defined as the sum of weights [Formula: see text] over all edges [Formula: see text] of [Formula: see text], where [Formula: see text] and [Formula: see text] are the degrees of the vertices [Formula: see text] and [Formula: see text] in [Formula: see text], respectively. In this paper, some
Alyar, S., Khoeilar, R.
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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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2010
In this report, we present a novel variant of the connectivity index that we call the sum-connectivity index. This is the additive version of the connectivity index introduced in 1975 by Milan Randić. Initially the Randić index has been introduced as a structural descriptor called branching index that later became well-known Randić connectivity index ...
Nikolić, Sonja +2 more
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In this report, we present a novel variant of the connectivity index that we call the sum-connectivity index. This is the additive version of the connectivity index introduced in 1975 by Milan Randić. Initially the Randić index has been introduced as a structural descriptor called branching index that later became well-known Randić connectivity index ...
Nikolić, Sonja +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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Extremal Results and Bounds for Atom-Bond Sum-Connectivity Index
Match Communications in Mathematical and in Computer ChemistryThe ABS (atom-bond sum-connectivity) index is a topological index, that was introduced in 2022 by amalgamating the main ideas of two well-examined indices. Mathematical aspects (especially, extremal results and bounds) of the ABS index have already been studied considerably.
Akbar Ali +5 more
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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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On the General Sum–Connectivity Co–Index of Graphs
2011In this paper, a new molecular-structure descriptor, the general sum–connectivity co–index is considered, which generalizes the first Zagreb co–index and the general sum– connectivity index of graph theory. We mainly explore the lower and upper bounds in terms of the order and size for this new invariant.
SU, G., XU, L.
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The Sum-Connectivity Index - An Additive Variant of the Randić Connectivity Index
Current computer-aided drug design, 2013Applications of novel variant of the connectivity index that we call here the sum- connectivity index in structure-property modeling are reviewed. Accordingly, we named here the Randić connectivity index as the product-connectivity index. Correlations from literature that were obtained by one-descriptor models using both variants of connectivity ...
Bešlo, Drago +7 more
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General ( α , 2 ) Path Sum Connectivity Index of Nanostructures
Journal of Corrosion and MaterialsThe general path sum connectivity index of a molecular graph, denoted as t χ α ( G ) , is defined for a graph G , where α is a positive real number and t is a positive integer. This index is expressed as: t χ α ( G ) = ∑ p t = v j 1 v j 2 … v j t + 1 ⊆ G [ d G ( v j 1 ) + d G ( v j 2 ) + ⋯ + d G ( v j t + 1 ) ] α , where p t represents a ...
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