Results 11 to 20 of about 7,008 (268)
Bounds on the General Eccentric Connectivity Index
Symmetry, 2022 The general eccentric connectivity index of a graph R is defined as ξec(R)=∑u∈V(G)d(u)ec(u)α, where α is any real number, ec(u) and d(u) represent the eccentricity and the degree of the vertex u in R, respectively. In this paper, some bounds on the general eccentric connectivity index are proposed in terms of graph-theoretic parameters, namely, order ...
Xinhong Yu +4 more
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Minimum eccentric connectivity index for graphs with fixed order and fixed number of pendant vertices [PDF]
Yugoslav Journal of Operations Research, 2019 The eccentric connectivity index of a connected graph G is the sum over all vertices v of the product dG(v)eG(v), where dG(v) is the degree of v in G and eG(v) is the maximum distance between v and any other vertex of G.
Devillez Gauvain +3 more
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Eccentric connectivity index in transformation graph Gxy+
Acta Universitatis Sapientiae, Informatica, 2023 Abstract Let G be a connected graph with vertex set V(G)and edge set E(G). The eccentric connectivity index of G is defined as ∑
Vatansever, Belgin, Aytaç, Aysun
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Topological Aspects of Dendrimers via Distance Based Descriptors
IEEE Access, 2019 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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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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Eccentric connectivity index of unicyclic graphs with application to cycloalkanes [PDF]
, 2015 Let G be a simple connected molecular graph. The eccentric connectivity index ξ(G) is defined as ξ (G) = ∑ν∈V(G)deg (ν)ec(ν), where deg(ν) denotes the degree of vertex v and ec(ν) is the largest distance between ν and any other vertex u of G.
Haoer, Raad Sehen +3 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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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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