Covering Energy of Some Classes of Posets

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI:10.18311/jims/2020/25451

Madhukar. M. Pawar, Vandana P. Bhamre

引用次数: 3

Abstract

The concept of the covering energy of a poset is introduced and its bounds are given. We compute covering energy of some classes of posets like S_n, 2ⁿ. The posets D_k and D^'_k are defined and two recurrence relations for the characteristic polynomials of these posets are obtained. The energies of the posets D₁, D₂, D₃, D₄ and D₅ are explicitly computed. The existence of some eigenvalues for some type of D_k and D^'_k is proved.

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某类偏序集的覆盖能

引入偏序集的覆盖能的概念，给出了它的界。我们计算了Sn，2n等偏序集的覆盖能。定义了偏序集Dk和Dk，得到了这些偏序集的特征多项式的两个递推关系。显式地计算偏序集D1、D2、D3、D4和D5的能量。证明了一类Dk和Dk的一些特征值的存在性。

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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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.