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Covering Energy of Some Classes of Posets


Affiliations
1 P. G. Dept. of Mathematics, S. S. V. P. S’s. Late Kr. Dr. P. R. Ghogrey Science College, Dhule, DHULE (M.S.) 424-005, India
2 Department of Mathematics, Pratap College, Amalner, AMALNER, Dist. Jalgaon (M.S.) 425401, India
     

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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 Sn, 2n. The posets Dk 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 Dk and D'k is proved.

Keywords

Covering Energy of a Poset, Eigenvalues, Spectrum, Boolean Lattice, Diamond, Dk and D'k
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  • Covering Energy of Some Classes of Posets

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Authors

Madhukar M. Pawar
P. G. Dept. of Mathematics, S. S. V. P. S’s. Late Kr. Dr. P. R. Ghogrey Science College, Dhule, DHULE (M.S.) 424-005, India
Vandana P. Bhamre
Department of Mathematics, Pratap College, Amalner, AMALNER, Dist. Jalgaon (M.S.) 425401, India

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 Sn, 2n. The posets Dk 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 Dk and D'k is proved.

Keywords


Covering Energy of a Poset, Eigenvalues, Spectrum, Boolean Lattice, Diamond, Dk and D'k

References





DOI: https://doi.org/10.18311/jims%2F2020%2F25451