Results 21 to 30 of about 4,006,976 (265)
Amplified eccentric connectivity index of graphs [PDF]
, 2022 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.
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On Distance-Based Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs
IEEE Access, 2019 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]
Transactions on Combinatorics, 2017 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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On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers
Biomolecules, 2018 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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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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Eccentricity based topological indices of face centered cubic lattice FCC(n)
Main Group Metal Chemistry, 2021 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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Eccentricity-Based Topological Indices of a Cyclic Octahedron Structure
Mathematics, 2018 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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On the Difference Between the Eccentric Connectivity Index and Eccentric Distance Sum of Graphs [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2020 The eccentric connectivity index of a graph $G$ is $ξ^c(G) = \sum_{v \in V(G)}\varepsilon(v)°(v)$, and the eccentric distance sum is $ξ^d(G) = \sum_{v \in V(G)}\varepsilon(v)D(v)$, where $\varepsilon(v)$ is the eccentricity of $v$, and $D(v)$ the sum of distances between $v$ and the other vertices.
Yaser Alizadeh, Sandi Klavžar
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The eccentric connectivity index of armchair polyhex nanotubes
Macedonian Journal of Chemistry and Chemical Engineering, 2010 The eccentric connectivity index ξ(G) of the graph G is defined as ξ(G) = Σu∈V(G) deg(u)ε(u) where deg(u) denotes the degree of vertex u and ε(u) is the largest distance between u and any other vertex v of G.
Mahboubeh Saheli, Ali Reza Ashrafi
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On the Adjacent Eccentric Distance Sum Index of Graphs. [PDF]
PLoS ONE, 2015 For a given graph G, ε(v) and deg(v) denote the eccentricity and the degree of the vertex v in G, respectively. The adjacent eccentric distance sum index of a graph G is defined as [Formula in text], where [Formula in text] is the sum of all distances ...
Hui Qu, Shujuan Cao
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