COVERING ENERGY OF POSETS AND ITS BOUNDS

被引：1

作者：

Bhamre, Vandana P. ^{[1
,2
]}

Pawar, Madhukar M. ^{[2
,3
]}

机构：

[1] Pratap Coll, Dept Math, Amalner 425401, Maharashtra, India

[2] Kaviyitri Bahinabai Choudhari North Maharashtra U, Jalgaon, Maharashtra, India

[3] SSVPSs Late KrDrPR Ghogrey Sci Coll, Dept Math, Dhule 424005, Maharashtra, India

来源：

MATHEMATICA BOHEMICA | 2023年 / 148卷 / 04期

关键词：

covering energy of poset; eigenvalue; spectrum; upper bound; lower bound;

D O I：

10.21136/MB.2022.0029-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 2n 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.

引用

页码：537 / 553

页数：17