Results 11 to 20 of about 15,243 (160)

The hyper-Wiener index of graph operations

Computers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalifeh, M.H., Yousefi-Azari, H., Ashrafi, A.R.   +2 more
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The edge-Wiener index and the edge-hyper-Wiener index of phenylenes [PDF]

Discrete Applied Mathematics, 2019
Besides the well known Wiener index, which sums up the distances between all the pairs of vertices, and the hyper-Wiener index, which includes also the squares of distances, the edge versions of both indices attracted a lot of attention in the recent years.
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On the Steiner hyper-Wiener index of a graph [PDF]

Applied Mathematics and Computation, 2018
In this paper, we study the Steiner hyper-Wiener index of a graph, which is obtained from the standard hyper-Wiener index by replacing the classical graph distance with the Steiner distance. It is shown how this index is related to the Steiner Hosoya polynomial, which generalizes similar result for the standard hyper-Wiener index. Next, we show how the
Niko Tratnik
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The hyper-Wiener index of the generalized hierarchical product of graphs

Discrete Applied Mathematics, 2011
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Eliasi, Mehdi, Iranmanesh, Ali
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Relationship between the Hosoya polynomial and the hyper-Wiener index

Applied Mathematics Letters, 2002
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Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph

Journal of Chemistry, 2021
The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic
Peng Xu, Muhammad Numan, Aamra Nawaz, Saad Ihsan Butt, Adnan Aslam, Asfand Fahad   +5 more
doaj   +1 more source

Topological Indices of Graphs from Vector Spaces

Mathematics, 2023
Topological indices are numbers that are applied to a graph and can be used to describe specific graph properties through algebraic structures. Algebraic graph theory is a helpful tool in a range of chemistry domains.
Krishnamoorthy Mageshwaran, Nazeek Alessa, Singaravelu Gopinath, Karuppusamy Loganathan   +3 more
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GTI-space : the space of generalized topological indices [PDF]

, 2008
A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
A.R Matamala, A.R Matamala, A.T Balaban, Adelio R. Matamala, B Zhou, D. Plavšić, D.J Klein, D.J Klein, D.J Klein, E Estrada, E Estrada, E. Estrada, E. Estrada, E. Estrada, E. Estrada, E. Estrada, Ernesto Estrada, G.G Cash, H Wiener, H.P Schultz, H.P Schultz, I Gutman, I Gutman, I Gutman, I Gutman, J. Gálvez, J. Gálvez, J.R Votano, M. Randić, M. Randić, O Ivanciuc, R Todeschini, R.F Brown, W.R. Müller, Z. Mihalić   +34 more
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Hosoya Polynomials Of Some Semiconducotors

Journal of Kufa for Mathematics and Computer, 2014
The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperWiener index.
Azeez Lafta Jabir, AbdulJalil M. Khalaf, Emad A. Jaffar AL-Mulla   +2 more
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Stein's method meets Malliavin calculus: a short survey with new estimates [PDF]

, 2009
We provide an overview of some recent techniques involving the Malliavin calculus of variations and the so-called ``Stein's method'' for the Gaussian approximations of probability distributions.
Nourdin, Ivan, Peccati, Giovanni
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