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

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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。

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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.

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来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks