On Sombor indices of line graph of silicate carbide Si2C3-I[p,q]

Asif, Fatima; Zahid, Zohaib; Husin, Mohamad Nazri; Cancan, Murat; Taş, Ziyattin; Alaeiyan, Mehdi

doi:10.1080/09720510.2022.2043621

Cited by 23 publications

(5 citation statements)

References 19 publications

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“…In [15], the Sombor index was calculated for polymers. In [16], Sombor indices of the line graphs of some silicates were studied. In [17], some molecular properties of the Sombor index were obtained.…”

Section: Methodsmentioning

confidence: 99%

The Effect of Vertex and Edge Removal on Sombor Index

Yurttas Gunes,

Ozden Ayna,

Cangul

2024

Symmetry

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A vertex degree based topological index called the Sombor index was recently defined in 2021 by Gutman and has been very popular amongst chemists and mathematicians. We determine the amount of change of the Sombor index when some elements are removed from a graph. This is done for several graph elements, including a vertex, an edge, a cut vertex, a pendant edge, a pendant path, and a bridge in a simple graph. Also, pendant and non-pendant cases are studied. Using the obtained formulae successively, one can find the Sombor index of a large graph by means of the Sombor indices of smaller graphs that are just graphs obtained after removal of some vertices or edges. Sometimes, using iteration, one can manage to obtain a property of a really large graph in terms of the same property of many other subgraphs. Here, the calculations are made for a pendant and non-pendant vertex, a pendant and non-pendant edge, a pendant path, a bridge, a bridge path from a simple graph, and, finally, for a loop and a multiple edge from a non-simple graph. Using these results, the Sombor index of cyclic graphs and tadpole graphs are obtained. Finally, some Nordhaus–Gaddum type results are obtained for the Sombor index.

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Section: Methodsmentioning

confidence: 99%

The Effect of Vertex and Edge Removal on Sombor Index

Yurttas Gunes,

Ozden Ayna,

Cangul

2024

Symmetry

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“…used to predict the properties of these materials. They are often an addition to calculations using quantum chemistry that need a deal of computing [18][19][20][21][22][23]. There is a wide range of indices that can be used in research to understand the relationships between structure and properties .…”

Section: Of 16mentioning

confidence: 99%

Topological Properties and Entropy Calculations of Aluminophosphates

Vijay¹,

Santiago²,

Bheeter³

et al. 2023

Preprint

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Topological indices are invariant numerical fields of a graph that give facts about the structure of graphs and are found to be very helpful in predicting the physical properties of aluminophosphates. The characteristics of the aluminophosphates are similar to those of zeolites. Two examples of current applications are natural gas dehydration and humidity sensor. New frameworks are being synthesised by researchers in chemistry and materials science. There are many layers and holes in these substances. In this study, Vertex version of distance-based topological indices, the entropy of topological indices and their numerical analysis are explained.

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“…A scientist from the United States discovers silicon carbide in 1891. Today, silica and carbon can be used to artificially create silicon carbide [6,10]. Up until 1929, silicon carbide was thought to be the world's toughest substance.…”

Section: Silicon Carbide Networkmentioning

confidence: 99%