Results 1 to 10 of about 916 (106)

On minimum revised edge Szeged index of bicyclic graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2022
The revised edge Szeged index [Formula: see text] of a graph G is defined as [Formula: see text] where [Formula: see text] and [Formula: see text] are, respectively, the number of edges of G lying closer to vertex u than to vertex v and the number of ...
Mengmeng Liu, Shengjin Ji
doaj   +4 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

On the revised Szeged index

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

Revised Szeged index and revised edge-szeged index of special chemical molecular structures

open access: yesJournal of Interdisciplinary Mathematics, 2016
AbstractIn computational chemistry and graph theory, the revised edge-Szeged index and revised Szeged index were introduced to measure the properties of drugs and chemical compounds. As the extension of Szeged index and edge-Szeged index, the revised version Szeged index and edge-Szeged index is more available to test the characteristics of chemical ...
Wei Gao, Weifan Wang
exaly   +3 more sources

Tricyclic graphs with maximal revised Szeged index

open access: yesDiscrete Applied Mathematics, 2014
14 pages.
Lily Chen, Xueliang Li
exaly   +3 more sources

Bicyclic graphs with maximal revised Szeged index

open access: yesDiscrete Applied Mathematics, 2013
The revised Szeged index $Sz^*(G)$ is defined as $Sz^*(G)=\sum_{e=uv \in E}(n_u(e)+ n_0(e)/2)(n_v(e)+ n_0(e)/2),$ where $n_u(e)$ and $n_v(e)$ are, respectively, the number of vertices of $G$ lying closer to vertex $u$ than to vertex $v$ and the number of vertices of $G$ lying closer to vertex $v$ than to vertex $u$, and $n_0(e)$ is the number of ...
Xueliang Li
exaly   +3 more sources

On extremal cacti with respect to the revised Szeged index

open access: yesDiscrete Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shujing Wang
exaly   +3 more sources

On the difference between the revised Szeged index and the Wiener index

open access: yesDiscrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavžar
exaly   +3 more sources

On the further relation between the (revised) Szeged index and the Wiener index of graphs

open access: yesDiscrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuchao Li
exaly   +3 more sources

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