Results 1 to 10 of about 4,046 (145)

Estimating the Szeged index

open access: yesApplied Mathematics Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Ch Das, Ivan Gutman
exaly   +2 more sources

On the revised Szeged index

open access: yesDiscrete Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rundan Xing, Bo Zhou
exaly   +3 more sources

Use of the Szeged index and the revised Szeged index for measuring network bipartivity

open access: yesDiscrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomaz Pisanski, Milan Randic
exaly   +3 more sources

On the difference between the Szeged and the Wiener index [PDF]

open access: yesApplied Mathematics and Computation, 2017
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
exaly   +3 more sources

The symmetric division Szeged index: A novel tool for predicting physical and chemical properties of complex networks [PDF]

open access: yesHeliyon
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
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
doaj   +4 more sources

Szeged index, edge Szeged index, and semi-star trees

open access: yesDiscrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ardeshir Dolati
exaly   +3 more sources

Maximum values of Szeged index and edge-Szeged index of graphs

open access: yesElectronic Notes in Discrete Mathematics, 2009
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
exaly   +2 more sources

Comparison between the Szeged index and the eccentric connectivity index

open access: yesDiscrete Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinkar Ch Das, M J Nadjafi-Arani
exaly   +2 more sources

The Szeged and the Wiener index of graphs

open access: yesApplied Mathematics Letters, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavžar, Ivan Gutman
exaly   +2 more sources

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