覆盖偏序集的能量及其边界

IF 0.3 Q4 MATHEMATICS

Mathematica Bohemica Pub Date : 2022-10-17 DOI:10.21136/mb.2022.0029-22

Vandana P. Bhamre, Madhukar. M. Pawar

{"title":"覆盖偏序集的能量及其边界","authors":"Vandana P. Bhamre, Madhukar. M. Pawar","doi":"10.21136/mb.2022.0029-22","DOIUrl":null,"url":null,"abstract":". The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with 2 n elements and a fence with n elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Covering energy of posets and its bounds\",\"authors\":\"Vandana P. Bhamre, Madhukar. M. Pawar\",\"doi\":\"10.21136/mb.2022.0029-22\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with 2 n elements and a fence with n elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/mb.2022.0029-22\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/mb.2022.0029-22","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

.偏序集的覆盖能量的概念是已知的，其麦克莱兰型界在文献中是可用的。本文建立了2n元素冠和n元素栅栏的覆盖能公式。建立了偏序集最大特征值的下界。利用这个下界，我们改进了某些特殊偏序集类的覆盖能量的McClelland型界。

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

Covering energy of posets and its bounds

. The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with 2 n elements and a fence with n elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.

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

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks