{"title":"New boundes for Sombor index of Graphs","authors":"Maryam Mohammadi, Hasan Barzegar","doi":"arxiv-2409.07099","DOIUrl":null,"url":null,"abstract":"In this paper, we find some bounds for the Sombor index of the graph G by\ntriangle inequality, arithmetic index, geometric index, forgotten index (F(G)),\narithmetic-geometric (AG) index, geometric-arithmetic (GA) index, symmetric\ndivision deg index (SDD(G)) and some central and dispersion indices. The bounds\ncould state estimated values and error intervals of the Sombor index to show\nlimits of accuracy. The error intervals are written as inequalities.","PeriodicalId":501407,"journal":{"name":"arXiv - MATH - Combinatorics","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07099","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we find some bounds for the Sombor index of the graph G by
triangle inequality, arithmetic index, geometric index, forgotten index (F(G)),
arithmetic-geometric (AG) index, geometric-arithmetic (GA) index, symmetric
division deg index (SDD(G)) and some central and dispersion indices. The bounds
could state estimated values and error intervals of the Sombor index to show
limits of accuracy. The error intervals are written as inequalities.
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