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Weighted Szeged indices of some graph operations [PDF]
Transactions on Combinatorics, 2016 In this paper, the weighted Szeged indices of Cartesian product and Corona product of twoconnected graphs are obtained. Using the results obtained here, the weighted Szeged indices ofthe hypercube of dimension n, Hamming graph, C4 nanotubes, nanotorus ...
Kannan Pattabiraman, P. Kandan
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Szeged index of \(TUC_4C_8(S)\) nanotubes
European Journal of Combinatorics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbas Heydari, Bijan Taeri
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On Extremal Graphs of Weighted Szeged Index
CoRR, 2019 An extension of the well-known Szeged index was introduced recently, named as weighted Szeged index (\(wSz(G)\)). This paper is devoted to characterizing the extremal trees and graphs of this new topological invariant. In particular, we proved that the star is a tree having the maximal \(wSz(G)\).
Bok, Jan +3 more
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Revised Szeged Index and Revised Edge Szeged Index of Certain Special Molecular Graphs [PDF]
International Journal of Applied Physics and Mathematics, 2014 In theoretical chemistry, the revised Szeged index and revised Szeged edge index were introduced to measure the stability of alkanes and the strain energy of cycloalkanes. In this paper, by virtue of mathematical derivation, we determine the revised Szeged index and revised edge Szeged index of fan molecular graph, wheel molecular graph, gear fan ...
Yun Gao, Wei Gao, Li Liang
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The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring
Contemporary Mathematics and Applications (ConMathA)The zero-divisor graph of a commutative ring is a graph where the vertices represent the zero-divisors of the ring, and two distinct vertices are connected if their product equals zero.
Jinan Ambar +2 more
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Gauge invariance and the interpretation of inter- and intraband processes in high-order harmonic generation from bulk solids [PDF]
, 2017 A theoretical model for high-order harmonic generation (HHG) in bulk solids is considered. Our approach treats laser-induced inter- and intraband currents on an equal footing.
Foldi, Peter
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On a relation between Szeged and Wiener indices of bipartite graphs [PDF]
Transactions on Combinatorics, 2012 Hansen et. al., using the AutoGraphiX software package, conjectured that the Szeged index Sz(G) and the Wiener index W(G) of a connected bipartite graph G with n ≥ 4 vertices and m ≥ n edges, obeys the relation Sz(G) − W(G) ≥ 4n − 8. Moreover, this bound
Ivan Gutman +3 more
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Moravian Geographical Reports, 2020 Urban and rural thermal properties mainly depend on surface cover features as well as vegetation cover. Surface classification using the local climate zone (LCZ) system provides an appropriate approach for distinguishing urban and rural areas, as well as
Fricke Cathy +4 more
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, 2011 In theoretical chemistry molecular structure descriptors are used for modeling physico-chemical, pharmacological, toxicologic, biological and other properties of chemical compounds.
Aleksandar Ilić +24 more
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Trees with Minimum Weighted Szeged Index Are of a Large Diameter [PDF]
Symmetry, 2020 The weighted Szeged index ( w S z ) has gained considerable attention recently because of its unusual mathematical properties. Searching for a tree (or trees) that minimizes the w S z is still going on. Several structural details of a minimal tree were described. Here, it is shown a surprising property that these trees have maximum degree
Risto Atanasov +2 more
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