Results 11 to 20 of about 4,075 (174)

Wiener index versus Szeged index in networks

open access: yesDiscrete Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavžar, M J Nadjafi-Arani
exaly   +2 more sources

The vertex PI index and Szeged index of bridge graphs

open access: yesDiscrete Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toufik Mansour, Matthias Schork
exaly   +2 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

Tricyclic graphs with maximal revised Szeged index

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

Five results on maximizing topological indices in graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2021
In this paper, we prove a collection of results on graphical indices. We determine the extremal graphs attaining the maximal generalized Wiener index (e.g. the hyper-Wiener index) among all graphs with given matching number or independence number.
Stijn Cambie
doaj   +1 more source

Szeged-type indices of subdivision vertex-edge join (SVE-join)

open access: yesMain Group Metal Chemistry, 2021
In this article, we compute the vertex Padmakar-Ivan (PIv) index, vertex Szeged (Szv) index, edge Padmakar-Ivan (PIe) index, edge Szeged (Sze) index, weighted vertex Padmakar-Ivan (wPIv) index, and weighted vertex Szeged (wSzv) index of a graph product ...
Asghar Syed Sheraz   +4 more
doaj   +1 more source

ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS

open access: yesBarekeng, 2023
The prime ideal graph of  in a finite commutative ring  with unity, denoted by , is a graph with elements of  as its vertices and two elements in  are adjacent if their product is in . In this paper, we explore some interesting properties of .
Rian Kurnia   +5 more
doaj   +1 more source

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   +1 more source

A New Alternative to Szeged, Mostar, and PI Polynomials—The SMP Polynomials

open access: yesMathematics, 2023
Szeged-like topological indices are well-studied distance-based molecular descriptors, which include, for example, the (edge-)Szeged index, the (edge-)Mostar index, and the (vertex-)PI index.
Martin Knor, Niko Tratnik
doaj   +1 more source

Computing PI and Szeged indices of multiple phenylenes and cyclic hexagonal-square chain consisting of mutually isomorphic hexagonal chains [PDF]

open access: yesJournal of the Serbian Chemical Society, 2007
PI and Szeged indices are two of the most important topological indices defined in chemistry. In this study, the PI and Szeged indices of linear [n]-phenylenes and a cyclic hexagonal-square chain consisting of n mutually isomorphic hexagonal chains were ...
Yousefi-Azari H.   +3 more
doaj   +3 more sources

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