Results 11 to 20 of about 5,307,048 (221)
The Atom-Bond Connectivity Index of Catacondensed Polyomino Graphs [PDF]
Discrete Dynamics in Nature and Society, 2013 Let G=(V,E) be a graph. The atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv−2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G.
Jinsong Chen, Jianping Liu, Qiaoliang Li
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Further Properties of Trees with Minimal Atom-Bond Connectivity Index
Abstract and Applied Analysis, 2014 Let G=(V,E) be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv-2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we determined a few structural features of the trees
Jianping Liu, Jinsong Chen
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On the eccentric atom-bond sum-connectivity index of trees and unicyclic graphs with given diameter
Open MathematicsThe eccentric atom-bond sum-connectivity index (ABSC e) of a graph G is defined as ABSCe(G)=∑uv∈E(G)eu+ev−2eu+ev $ABS{C}_{e}\left(G\right)={\sum }_{uv\in E\left(G\right)}\sqrt{\frac{{e}_{u}+{e}_{v}-2}{{e}_{u}+{e}_{v}}}$ , where e u and e v represent the ...
Song Rui
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On the general atom-bond sum-connectivity index
AIMS Mathematics, 2023 <abstract><p>This paper is concerned with a generalization of the atom-bond sum-connectivity (ABS) index, devised recently in [A. Ali, B. Furtula, I. Redžepović, I. Gutman, Atom-bond sum-connectivity index, <italic>J. Math. Chem.</italic>, <bold>60</bold> (2022), 2081-2093].
Abeer M. Albalahi, Zhibin Du, Akbar Ali
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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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On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices [PDF]
, 2023 The atom-bond-connectivity (ABC) index is one of the well-investigated degree-based topological indices. The atom-bond sum-connectivity (ABS) index is a modified version of the ABC index, which was introduced recently.
Redzepovic, Izudin +5 more
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Sharp inequalities for the atom-bond (sum) connectivity index
Journal of Mathematical Inequalities, 2023 For a graph \(G\), the atom-bond connectivity (ABC) index (respectively, atom-bond sum connectivity (ABS) index) of \(G\) is defined as the sum of the numbers \(\sqrt{\frac{d_i +d_j-2} {d_id_j}}\) (respectively, \(\sqrt{\frac{d_i +d_j -2} {d_i + d_j}}\) ) over all the unordered pairs \(\{v_i,v_j\}\) of adjacent vertices of \(G\), where \(d_i\) and ...
Ali, Akbar +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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Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
Journal of Chemistry, 2021 A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them.
Muhammad Asad Ali +3 more
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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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