Results 1 to 10 of about 4,046 (145)
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Kinkar Ch Das, Ivan Gutman
exaly +2 more sources
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Rundan Xing, Bo Zhou
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Use of the Szeged index and the revised Szeged index for measuring network bipartivity
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Tomaz Pisanski, Milan Randic
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On the difference between the Szeged and the Wiener index [PDF]
We prove a conjecture of Nadjafi-Arani, Khodashenas and Ashrafi on the difference between the Szeged and Wiener index of a graph. Namely, if $G$ is a 2-connected non-complete graph on $n$ vertices, then $Sz(G)-W(G)\ge 2n-6$. Furthermore, the equality is obtained if and only if $G$ is the complete graph $K_{n-1}$ with an extra vertex attached to either $
Marthe Bonamy +2 more
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The symmetric division Szeged index: A novel tool for predicting physical and chemical properties of complex networks [PDF]
This paper introduces a novel graph invariant, the symmetric division Szeged index (SDZ), which generalizes earlier concepts by focusing on vertices positioned closer to an edge's endpoints rather than vertex degrees.
Modjtaba Ghorbani +3 more
doaj +2 more sources
The quotients between the (revised) Szeged index and Wiener index of graphs [PDF]
Let $Sz(G),Sz^*(G)$ and $W(G)$ be the Szeged index, revised Szeged index and Wiener index of a graph $G.$ In this paper, the graphs with the fourth, fifth, sixth and seventh largest Wiener indices among all unicyclic graphs of order $n\geqslant 10$ are ...
Huihui Zhang, Jing Chen, Shuchao Li
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Szeged index, edge Szeged index, and semi-star trees
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Ardeshir Dolati
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Maximum values of Szeged index and edge-Szeged index of graphs
AbstractThe Szeged index is a graph invariant which is a natural generalization of Wienerindex. In this note, we disprove two recent conjectures concerning with the maxi-mum value of Szeged index of graphs, which are due to Khalifeh et al. (Europ. J.Combinatorics (2008), doi:10.1016/j.ejc.2008.09.019) and respectively, to Gutmanet al. (Groat.
Baoyindureng Wu
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Comparison between the Szeged index and the eccentric connectivity index
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Kinkar Ch Das, M J Nadjafi-Arani
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The Szeged and the Wiener index of graphs
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Sandi Klavžar, Ivan Gutman
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