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Computing Topological Descriptors and Polynomials of Certain 2D Chemical Structures
In the fields of mathematical chemistry, a topological index, also known as a connectivity index, is a type of a molecular descriptor that is calculated based on the molecular graph of a chemical compound.
Muhammad Mubashir Izhar +6 more
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Some chemical indices related to the number of triangles [PDF]
Many chemical indices have been invented in theoretical chemistry, such as the Zagreb index, the Lanzhou index, the forgotten index, the Estrada index etc.
Mihrigul Wali
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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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On α-adjacency energy of graphs and Zagreb index [PDF]
Let $A(G)$ be the adjacency matrix and $D(G)$ be the diagonal matrix of the vertex degrees of a simple connected graph $G$. Nikiforov defined the matrix $A_ (G)$ of the convex combinations of $D(G)$ and $A(G)$ as $A_ (G)= D(G)+(1- )A(G)$, for $0\leq \leq 1$.
S. Pirzada +3 more
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Topological Indices of H-Naphtalenic Nanosheet
In chemical graph theory, a single numeric number related to a chemical structure is called a topological descriptor or topological index of a graph.
Idrees Nazeran +4 more
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Computing Topological Indices and Polynomials for Line Graphs
A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point ...
Shahid Imran +3 more
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On topological properties of block shift and hierarchical hypercube networks
Networks play an important role in electrical and electronic engineering. It depends on what area of electrical and electronic engineering, for example there is a lot more abstract mathematics in communication theory and signal processing and networking ...
Guirao Juan Luis García +2 more
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Zagreb Indices of Trees, Unicyclic and Bicyclic Graphs With Given (Total) Domination
Let G = (V, E) be a (molecular) graph. For a family of graphs G, the first Zagreb index M1 and the second Zagreb index M2 have already studied. In particular, it has been presented, the first Zagreb index M1 and the second Zagreb index M2 of trees T in ...
Doost Ali Mojdeh +3 more
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Bounds for the augmented Zagreb index
Summary: The augmented Zagreb index (AZI for short) of a graph \(G\), introduced by \textit{B. Furtula} et al. [J. Math. Chem. 48, No. 2, 370--380 (2010; Zbl 1196.92050)] is defined as AZI\((G)=\sum_{v_iv_j\in E(G)}\left(\frac{d(v_i)d(v_j)}{d(v_i)+d(v_j)-2}\right)^3\), where \(E(G)\) is the edge set of \(G\), and \(d(v_i)\) denotes the degree of the ...
qingcuo, Ren +3 more
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Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
A topological index is a real number associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity, or biological activity.
Wei Gao, Muhammad Kamran Siddiqui
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