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Keywords:
covering energy of poset; eigenvalue; spectrum; upper bound; lower bound
covering energy of poset; eigenvalue; spectrum; upper bound; lower bound
Summary:
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.
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