Results 11 to 20 of about 18,171 (291)
Acta Chimica Slovenica, 2016 Among topological descriptors, connectivity indices are very important and they have a prominent role in chemistry. The atom-bond connectivity index of a connected graph G is defined as ABC(G)= where dv denotes the degree of vertex v of G and the ...
Wei Gao +2 more
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On the atom-bond connectivity index and radius of connected graphs [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhibin Du
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Atom-bond sum-connectivity index
Journal of Mathematical Chemistry, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbar Ali +3 more
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Atom–bond connectivity index of trees
Discrete Applied Mathematics, 2009 The recently introduced atom-bond connectivity (ABC) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes. Here, mathematical properties of the ABC index of trees are studied. Chemical trees with the extremal ABC values are found. In addition, it has been proven that among all trees, the star tree, Sn,
Furtula, Boris +2 more
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Second Atom-Bond Connectivity Index of Special Chemical Molecular Structures [PDF]
Journal of Chemistry, 2014 In theoretical chemistry, the second atom-bond connectivity index was introduced to measure the stability of alkanes and the strain energy of cycloalkanes.
Wei Gao, Weifan Wang
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Sharp inequalities for the atom-bond (sum) connectivity index [PDF]
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 ...
Akbar Ali +3 more
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General Atom-Bond-Connectivity Index Of Graphs
Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 2022 The Atom-bond-connectivity index ABC of a graph G is determined by d_i and d_j. In this paper, sharp results for the general ABC index which has chemical applications are found using different methods. These new results for ABC inex are investigated in terms of its edges, its vertices and its degrees. In particular, some relations for general ABC index
Seda KINACI
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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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EXTREMAL ATOM-BOND CONNECTIVITY INDEX OF CACTUS GRAPHS [PDF]
Communications of the Korean Mathematical Society, 2015 Abstract. The atom-bond connectivity index of a graph G(ABC indexfor short) is defined as the summation of quantitiesq d(u)+d(v)−2d(u)d(v) overall edges of G. A cactus graph is a connected graph in which every blockis an edge or a cycle. The aim of this paper is to obtain the first andsecond maximum values of the ABC index among all n vertex cactusgraphs.
Али Реза Ашрафи +2 more
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On the Atom-Bond Connectivity index of cacti
Filomat, 2014 The Atom-Bond Connectivity (ABC) index of a connected graph G is defined as ABC(G) = ?uv(E(G)?d(u)+d(v)-2/d(u)d(v), where d(u) is the degree of vertex u in G. A connected graph G is called a cactus if any two of its cycles have at most one common vertex. Denote by G0(n, r) the set of cacti with n vertices and r cycles and G1(n,p) the set of
Hawei Dong, Xiaoxia Wu
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