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Atom-Bond Connectivity Index and Arithmetic-Geometric Index: Bounding Relationships
International Journal of Mathematics and Computer ScienceIn this paper, we establish extremal results and bounds of the atom-bond connectivity index with the arithmetic-geometric index given the minimum and maximum degrees of a graph. We have shown that regular graphs correspond to extremal graphs.
Abdulwahid, Fabricia M. +3 more
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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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A Note on atom bond connectivity index
2012The atom bond connectivity index of a graph is a new topological index was defined by E. Estrada as ABC(G) uvE (dG(u) dG(v) 2) / dG(u)dG(v) , where G d ( u ) denotes degree of vertex u. In this paper we present some bounds of this new topological index.
HEIDARI RAD, S., KHAKI, A.
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On generalized atom-bond connectivity index of cacti
2019Summary: The generalized atom-bond connectivity index of a graph \(G\) is denoted by ABC\(_a(G)\) and defined as the sum of weights \(\left(\frac{d(u)+d(v)-2}{d(u)d(v)}\right)^\alpha\) over all edges \(uv \in G\), where \(d(u)\) is the degree of the vertex \(u\) in \(G\), and \(\alpha\) is an arbitrary non-zero real number. A cactus is a graph in which
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Remarks on atom bond connectivity index
2012A topological index is a function Top from Σ into real numbers with this property that Top(G) = Top(H), if G and H are isomorphic. Nowadays, many of topological indices were defined for different purposes. In the present paper we present some properties of atom bond connectivity index.
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Atom bond connectivity temperature index of certain nanostructures
2018In the study of QSPR/QSAR, topological indices such as Zagreb index, Randic index, atom-bond connectivity index are exploited to estimate the bioactivity of chemical compounds. Inspired by many degree based topological indices, we propose here a new topological index, called the Atom Bond Connectivity temperature index ABCT(G) of a molecular graph G ...
Kahsay, Afework +2 more
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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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