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 ,IN
  • Vandana P. Bhamre
     Department of Mathematics, Pratap College, Amalner, AMALNER, Dist. Jalgaon (M.S.) 425401 ,IN

DOI:

https://doi.org/10.18311/jims/2020/25451

Keywords:

Covering energy of a poset, eigenvalues, spectrum, Boolean Lattice, Diamond, Dk and D'k

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.

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Published

2020-07-01

How to Cite

Pawar, M. M., & Bhamre, V. P. (2020). Covering Energy of Some Classes of Posets. The Journal of the Indian Mathematical Society, 87(3-4), 193–205. https://doi.org/10.18311/jims/2020/25451

Issue

Volume 87, Issue 3-4, July-December 2020

Section

Articles

License

Copyright (c) 2020 Madhukar M. Pawar, Vandana P. Bhamre

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-06-07
Accepted 2023-01-30
Published 2020-07-01

 

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