Results 31 to 40 of about 1,062,219 (211)
Topological Indices of Families of Bistar and Corona Product of Graphs
Journal of Mathematics, 2022 Topological indices are graph invariants that are used to correlate the physicochemical properties of a chemical compound with its (molecular) graph. In this study, we study certain degree-based topological indices such as Randić index, Zagreb indices ...
A. Khalid +5 more
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Kuwait Journal of Science, 2021 Mili\v{c}evi\'{c} \textit{et al.}, in 2004, introduced topological indices known as Reformulated Zagreb indices, where they modified Zagreb indices using the edge-degree instead of vertex degree.
Abhay Rajpoot, Lavanya Selvaganesh
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Multiplicative Zagreb indices of cacti [PDF]
Discrete Mathematics, Algorithms and Applications, 2016 Let [Formula: see text] be multiplicative Zagreb index of a graph [Formula: see text]. A connected graph is a cactus graph if and only if any two of its cycles have at most one vertex in common, which is a generalization of trees and has been the interest of researchers in the field of material chemistry and graph theory.
Shaohui Wang, Bing Wei 0001
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M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide
Journal of Chemistry, 2021 Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds.
Faryal Chaudhry +5 more
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On chromatic Zagreb indices of certain graphs [PDF]
Discrete Mathematics, Algorithms and Applications, 2017 Let [Formula: see text] be a finite and simple undirected connected graph of order [Formula: see text] and let [Formula: see text] be a proper vertex coloring of [Formula: see text]. Denote [Formula: see text] simply, [Formula: see text]. In this paper, we introduce a variation of the well-known Zagreb indices by utilizing the parameter [Formula: see ...
Naduvath, Sudev +3 more
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Some Reverse Degree-Based Topological Indices and Polynomials of Dendrimers
Mathematics, 2018 Topological indices collect information from the graph of molecule and help to predict properties of the underlying molecule. Zagreb indices are among the most studied topological indices due to their applications in chemistry.
Wei Gao +4 more
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Topological Properties of Degree-Based Invariants via M-Polynomial Approach
Journal of Mathematics, 2022 Chemical graph theory provides a link between molecular properties and a molecular graph. The M-polynomial is emerging as an efficient tool to recover the degree-based topological indices in chemical graph theory.
Samirah Alsulami +4 more
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Bounds of Zagreb indices and hyper Zagreb indices
, 2016 The hyper Zagreb index is a kind of extensions of Zagreb index, used for predicting physicochemical properties of organic compounds. Given a graph $G= (V(G), E(G))$, the first hyper-Zagreb index is the sum of the square of edge degree over edge set $E(G)$ and defined as $HM_1(G)=\sum_{e=uv\in E(G)}d(e)^2$, where $d(e)=d(u)+d(v)$ is the edge degree.
Wang, Shaohui +4 more
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On the discrepancy between two Zagreb indices [PDF]
Discrete Mathematics, 2018 We examine the quantity \[S(G) = \sum_{uv\in E(G)} \min(\text{deg } u, \text{deg } v)\] over sets of graphs with a fixed number of edges. The main result shows the maximum possible value of $S(G)$ is achieved by three different classes of constructions, depending on the distance between the number of edges and the nearest triangular number. Furthermore
Ashwin Sah, Mehtaab Sawhney
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Leap Zagreb Connection Numbers for Some Networks Models
Indonesian Journal of Chemistry, 2020 The main object of this study is to determine the exact values of the topological indices which play a vital role in studying chemical information, structure properties like QSAR and QSPR. The first Zagreb index and second Zagreb index are among the most
Zahid Raza
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