图的 Sombor 指数的新界限

arXiv - MATH - Combinatorics Pub Date : 2024-09-11 DOI:arxiv-2409.07099

Maryam Mohammadi, Hasan Barzegar

{"title":"图的 Sombor 指数的新界限","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":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"pages\":null},\"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}","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

摘要

本文通过三角形不等式、算术指数、几何指数、遗忘指数（F(G)）、算术几何指数（AG）、几何算术指数（GA）、对称分割度指数（SDD(G)）以及一些中心指数和离散指数，为图 G 的松博指数找到了一些约束。边界可以说明松博指数的估计值和误差区间，以显示精确度的极限。误差区间用不等式表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New boundes for Sombor index of Graphs

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Combinatorics

自引率

0.00%

发文量