Geodesic
Covering energy of posets and its bounds
Mathematica Bohemica, Tome 148 (2023) no. 4, pp. 537-553.

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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.
DOI : 10.21136/MB.2022.0029-22
Classification : 05B20, 05C50, 06A07, 06A11, 06B05, 06B99
Keywords: covering energy of poset; eigenvalue; spectrum; upper bound; lower bound 
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Bhamre, Vandana P.; Pawar, Madhukar M. Covering energy of posets and its bounds. Mathematica Bohemica, Tome 148 (2023) no. 4, pp. 537-553. doi : 10.21136/MB.2022.0029-22. http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0029-22/

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