Mathematica Bohemica, Vol. 148, No. 4, pp. 537-553, 2023
Covering energy of posets and its bounds
Vandana P. Bhamre, Madhukar M. Pawar
Received February 28, 2022. Published online October 17, 2022.
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 $2n$ 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.
Keywords: covering energy of poset; eigenvalue; spectrum; upper bound; lower bound
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Affiliations: Vandana P. Bhamre, Department of Mathematics, Pratap College, Amalner, Maharashtra 425401 and Kaviyitri Bahinabai Choudhari North Maharashtra University, Jalgaon, India, e-mail: patilvandanapatil915@yahoo.com; Madhukar M. Pawar (correspoding author), Department of Mathematics, S.S.V.P.S's. Late Kr.Dr.P.R. Ghogrey Science College, Dhule, Maharashtra 424005, and Kaviyitri Bahinabai Choudhari North Maharashtra University, Jalgaon, India e-mail: m2pawar@yahoo.com, mm2pawar@gmail.com
