Results 21 to 30 of about 3,626 (270)
Linear model based on neighborhood ABS index for graph energy in benzenoid hydrocarbons and maximum index cactus graphs. [PDF]
Sci RepThe atom-bond-sum (ABS) connectivity index, developed by integrating the degree information from the atom-bond and sum connectivity indices, has attracted significant attention for its effectiveness in correlating thermodynamic properties of chemical ...
Chu ZQ +3 more
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Atom bond connectivity index for graph with self-loops and its application to structure property relationships in anticancer drugs. [PDF]
Sci RepLet $$G_S$$ be a graph derived from a simple graph G by adding a self-loop to each vertex in a subset $$S\subseteq V(G)$$ . In this paper, we define the atom bond connectivity index of the graph $$G_S$$ as $$ABC(G_S)$$ and the atom bond connectivity ...
Sharath B, Gowtham HJ.
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Efficient computation of trees with minimal atom-bond connectivity index [PDF]
Applied Mathematics and Computation, 2013 The {\em atom-bond connectivity (ABC) index} is one of the recently most investigated degree-based molecular structure descriptors, that have applications in chemistry. For a graph $G$, the ABC index is defined as $\sum_{uv\in E(G)}\sqrt{\frac{(d(u) +d(v)-2)}{d(u)d(v)}}$, where $d(u)$ is the degree of vertex $u$ in $G$ and $E(G)$ is the set of edges of
Darko Dimitrov
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ATOM-BOND-CONNECTIVITY INDEX OF CERTAIN GRAPHS
, 2023 The ABC index is one of the most applicable topological graph indices and several properties of it has been studied already due to its extensive chemical applications. Several variants of it have also been defined and used for several reasons. In this paper, we calculate the atom-bond connectivity index of some derived graphs such as double graphs ...
CANGÜL, İSMAİL NACİ +2 more
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Maximum atom-bond connectivity index with given graph parameters
Discrete Applied Mathematics, 2016 16 pages ...
Xiu-Mei Zhang +3 more
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On structural properties of trees with minimal atom-bond connectivity index
Discrete Applied Mathematics, 2014 The {\em atom-bond connectivity (ABC) index} is a degree-based graph topological index that found chemical applications. The problem of complete characterization of trees with minimal $ABC$ index is still an open problem. In~\cite{d-sptmabci-2014}, it was shown that trees with minimal ABC index do not contain so-called {\em $B_k$-branches}, with $k ...
Darko Dimitrov
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Atom–bond connectivity index of graphs: a review over extremal results and bounds [PDF]
Discrete Mathematics Letters, 2021 The atom–bond connectivity (ABC) index was introduced in the last quarter of the 1990s to improve the prediction power of the Randić index. Later on, in 2008, the factor √2 was dropped from the original definition of the ABC index, and some additional ...
Akbar Ali +3 more
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ATOM BOND CONNECTIVITY E-BANHATTI INDICES
, 2023 In this paper, we introduce the atom bond connectivity E-Banhatti index and the sum atom bond connectivity E-Banhatti index of a graph. Also we compute these newly defined atom bond connectivity E-Banhatti indices for wheel graphs, friendship graphs ...
V.R.Kulli
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Analysis of the properties of the topological Index using (analysis tools)
Al-Kitab Journal for Pure Sciences, 2023 Graph G has two sets of information: the vertices, V(G), and the edges, E(G). The definitions for the Connectivity, Geometric Arithmetic, Atomic Bond, and Sum Connectivity Indices of G: were deg(u), deg(v) are a degree of vertices. Dendrimers are
Batool Hatawi, Nabil Aref
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Topological Descriptors of M-Carbon Mr,s,t
Journal of Chemistry, 2021 We have studied topological indices of the one the hardest crystal structures in a given chemical system, namely, M-carbon. These structures are based and obtained by the famous algorithm USPEX. The computations and applications of topological indices in
Hong Yang, Muhammad Naeem
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