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

2014 ◽  
Vol 333 ◽  
pp. 28-34 ◽  
Author(s):  
Sandi Klavžar ◽  
M.J. Nadjafi-Arani
Keyword(s):  
Wiener Index ◽  
Szeged Index ◽  
The Difference

Five results on maximizing topological indices in graphs

2021 ◽  
Vol vol. 23, no. 3 (Graph Theory) ◽  
Author(s):  
Stijn Cambie
Keyword(s):  
Independence Number ◽  
Wiener Index ◽  
Bipartite Graphs ◽  
Topological Indices ◽  
Matching Number ◽  
Extremal Graphs ◽  
Szeged Index ◽  
Complete Bipartite Graphs ◽  
The Difference

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. This generalizes some work of Dankelmann, as well as some work of Chung. We also show alternative proofs for two recents results on maximizing the Wiener index and external Wiener index by deriving it from earlier results. We end with proving two conjectures. We prove that the maximum for the difference of the Wiener index and the eccentricity is attained by the path if the order $n$ is at least $9$ and that the maximum weighted Szeged index of graphs of given order is attained by the balanced complete bipartite graphs.

On the difference between the (revised) Szeged index and the Wiener index of cacti

2018 ◽  
Vol 247 ◽  
pp. 77-89 ◽  
Author(s):  
Sandi Klavžar ◽  
Shuchao Li ◽  
Huihui Zhang
Keyword(s):  
Wiener Index ◽  
Szeged Index ◽  
The Difference

scholarly journals The (revised) Szeged index and the Wiener index of a nonbipartite graph

2014 ◽  
Vol 36 ◽  
pp. 237-246 ◽  
Author(s):  
Lily Chen ◽  
Xueliang Li ◽  
Mengmeng Liu
Keyword(s):  
Wiener Index ◽  
Szeged Index

scholarly journals On the Wiener index and variants of the Szeged index of single-walled titania nanotubes TiO2(m,n)

2017 ◽  
Vol 95 (1) ◽  
pp. 68-86 ◽  
Author(s):  
Muhammad Imran ◽  
Sabeel-e Hafi
Keyword(s):  
Physicochemical Properties ◽  
Strain Energy ◽  
Chemical Compounds ◽  
Wiener Index ◽  
Exact Expression ◽  
Topological Indices ◽  
Titania Nanotubes ◽  
Graph Invariant ◽  
Szeged Index ◽  
Cut Method

Topological indices are numerical parameters of a graph that characterize its topology and are usually graph invariant. There are certain types of topological indices such as degree-based topological indices, distance-based topological indices, and counting-related topological indices. These topological indices correlate certain physicochemical properties such as boiling point, stability, and strain energy of chemical compounds. In this paper, we compute an exact expression of Wiener index, vertex-Szeged index, edge-Szeged index, and total-Szeged index of single-walled titania nanotubes TiO2(m, n) by using the cut method for all values of m and n.

Perbedaan Kualitas Lahan Apel Sistem Pertanian Intensif dengan Sistem Pertanian Ramah Lingkungan (Studi Kasus Di Kelompok Tani Makmur Abadi Desa Tulungrejo Kecamatan Bumiaji Kota Batu)

2013 ◽  
Vol 15 (2) ◽  
pp. 90
Author(s):  
Retno Indahwati ◽  
Ign Budi Hendrarto ◽  
Munifatul Izzati
Keyword(s):  
Field Research ◽  
Environmentally Friendly ◽  
Wiener Index ◽  
Pitfall Trap ◽  
System A ◽  
The Difference ◽  
Quantitative Descriptive ◽  
Sample Method ◽  
Important Value Index ◽  
Better Than

The aim of this research to analyze the difference of apple farm quality the influence of  intensification of agriculture system with environmentally-friendly of agriculture system. A descriptive field research was conducted in June until August 2012. The soil samples were taken in each location by using disturb sample method. The Arthropods sample were taken every five days for five time by using pitfall trap method with five transek in each location.The research applied a  qualitative and quantitative-descriptive. The farm quality were comparison soil quality analyze and  compositions of ground Arthropods. The composition of ground Arthropods were analyzed using Important Value Index and the diversities were analyzed by using Shannon Wiener Index. The result showed that farm quality with environmentally-friendly of agriculture system was better than intensification of agriculture system. The ground Arthropods collected at 150 pitfall trap in environmentally-friendly of agriculture system were 15.079 individual while those in intensification of agriculture system were 9.461 individual. Based on Important Value Index (40,83-64,31), Collembolla ordo Entomobryidae family dominated in each location. Based on Shannon Wiener Index that diversity of ground Arthropods in intensification of agriculture system (H’= 1,58-2,04) was greater than environmentally-friendly of agriculture system (H’= 1,56- 1,99), but both of them at medium criteria.   Keywords : farm quality, agriculture system, Arthropods composition

scholarly journals On the difference between the Szeged and the Wiener index

2017 ◽  
Vol 312 ◽  
pp. 202-213 ◽  
Author(s):  
Marthe Bonamy ◽  
Martin Knor ◽  
Borut Lužar ◽  
Alexandre Pinlou ◽  
Riste Škrekovski
Keyword(s):  
Wiener Index ◽  
The Difference

An inequality between variable wiener index and variable szeged index

2019 ◽  
Vol 362 ◽  
pp. 124557
Author(s):  
Katarína Hriňáková ◽  
Martin Knor ◽  
Riste Škrekovski
Keyword(s):  
Wiener Index ◽  
Szeged Index

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

2016 ◽  
Vol 206 ◽  
pp. 152-164 ◽  
Author(s):  
Huihui Zhang ◽  
Shuchao Li ◽  
Lifang Zhao
Keyword(s):  
Wiener Index ◽  
Szeged Index
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