Results 21 to 30 of about 1,059 (263)
Eccentric connectivity index of chemical trees [PDF]
Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices and edges are depicted atoms and chemical bonds respectively, we refer to the sets of vertices by V (G) and edges by E (G). If d(u, v) be distance between two vertices u, v ∈ V(G) and can be defined as the length of a shortest path joining them.
R. S. Haoer +4 more
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Augmented eccentric connectivity index [PDF]
We review basic mathematical properties of the augmented eccentric connectivity index. Explicit formulas are presented for several classes of graphs, in particular for some open and closed unbranched polymers and nanostructures. Asymptotic behavior is explored and compression ratios are computed for those polymers.
Doslic, Tomislav, Saheli, Mahboubeh
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Topological Aspects of Dendrimers via Distance Based Descriptors
Distance-based metrics has been practiced to various wide-ranging physicochemical applications, especially in the characterization and modeling of chemical structures.
Wei Gao +4 more
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Amplified eccentric connectivity index of graphs [PDF]
A new distance based graphical index, coined as ampli ed eccentric connec- tivity index, has been established and the formulae to calculate the ampli ed eccentric connectivity index of some standard graphs, Dutch windmill graph and molecular graph of ...
Puneeth, S., Sujatha, H. N., Mathad, V.
core
On Distance-Based Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs
The analysis of networks and graphs through topological descriptors carries out a useful role to derive their underlying topologies. This process has been widely used in biomedicine, cheminformatics, and bioinformatics, where assessments based on graph ...
Hong Yang +4 more
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Some topological indices and graph properties [PDF]
In this paper, by using the degree sequences of graphs, we present sufficient conditions for a graph to be Hamiltonian, traceable, Hamilton-connected or $k$-connected in light of numerous topological indices such as the eccentric connectivity index, the ...
Xiaomin Zhu +4 more
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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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Eccentricity based topological indices of face centered cubic lattice FCC(n)
Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems.
Shaker Hani +2 more
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On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers
It is revealed from the previous studies that there is a strong relation between the chemical characteristic of a chemical compound and its molecular structure.
Wei Gao +5 more
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Eccentricity-Based Topological Indices of a Cyclic Octahedron Structure
In this article, we study the chemical graph of a cyclic octahedron structure of dimension n and compute the eccentric connectivity polynomial, the eccentric connectivity index, the total eccentricity, the average eccentricity, the first Zagreb index ...
Manzoor Ahmed Zahid +3 more
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