Results 61 to 70 of about 15,243 (160)
On Wiener Index for Generalised Subdivision Neighbourhood Corona of Graphs
Graph operations such as the corona product play a significant role in analysing and constructing complex networks. In this work, we examine the Wiener index within the framework of generalised subdivision graph operations.
Vimal M., M. K. Pandit, Kalaimurugan G.
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If two edges e and f are deleted from a tree T, then it decomposes into three components, possessing, n0(e, f ), n1(e, f ), and n2(e, f ) vertices. Let n0(e, f ) count the vertices lying between the edges e and f. It is shown that the Wiener index W of the tree T is equal to the sum over all edges e of the products n1(e, e) • n2(e, e), and that the ...
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Exploring the Distance-Based Topological Indices for Total Graphs via Numerical Comparison
Graph theory serves as a valuable tool across numerous scientific disciplines, offering the means to model and analyze intricate networks. In this study, we explore the application of distance-based topological indices to a variety of graphs, including ...
Haseeb Ahmad +3 more
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Properties of the Hyper-Wiener index as a local function
16 pages, 4figures, 3 ...
Wang, Ya-Hong Chen Hua, Zhang, Xiao-Dong
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The structure of graphs with extremal hyper-Wiener index
The hyper-Wiener index of a graph G is defined as WW(G) = 1/2 ?{u,v}?V(G) (d2G(u,v)+dG(u,v)), where dG(u,v) denotes the distance between u and v in G. In this paper, we determine the maximum hyper-Wiener index of 2-connected graphs and 2-edge-connected graphs, which extends the result of Plesnik [On the sum of all distances in a graph or digraph, J ...
Hechao Liu, Lihua You, Yufei Huang
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λ-Modified Extremal Hyper-Wiener Index of Molecular Graphs
In this paper, we raise a new concept λ-modified Hyper-Wiener index to measure the topological structure of molecular graphs. We consider the relationship between λ-modified Hyper-Wiener index and some special parameters of molecular graph, and present the molecular graphs which minimize the λ-modified Hyper-Wiener index with λ>0 among all molecular ...
Wenfei XI, Wei GAO
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On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies. [PDF]
Malik MA, Imran M, Adeel M.
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Graphical Abstract Highlight Research Highlights from this results research: • Restoration is a method to restore degraded mangrove ecosystems • The success of restoration is measured by improvements in ecosystem services such as water quality,
Qathrunnada Salsabila +2 more
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Correlating topological indices with physicochemical properties in 15 polycyclic aromatic hydrocarbons. [PDF]
Huang Z +5 more
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