Covering energy, linear sum and vertical sum of posets
The concept of the covering energy of a poset is known. In this paper, we obtain a relation between the characteristic polynomials of the linear sum of two bounded posets and its components. Also, relations between covering energies of given posets and their linear sum as well as vertical sum are ob...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-01-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2024.2368136 |
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| author | Vandana P. Bhamre Madukar M. Pawar |
| author_facet | Vandana P. Bhamre Madukar M. Pawar |
| author_sort | Vandana P. Bhamre |
| collection | DOAJ |
| description | The concept of the covering energy of a poset is known. In this paper, we obtain a relation between the characteristic polynomials of the linear sum of two bounded posets and its components. Also, relations between covering energies of given posets and their linear sum as well as vertical sum are obtained. Eigenvalues and covering energies of some particular types of posets are also studied. |
| format | Article |
| id | doaj-art-5401ceb0a3e0483b934f48541eb38d2b |
| institution | OA Journals |
| issn | 0972-8600 2543-3474 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj-art-5401ceb0a3e0483b934f48541eb38d2b2025-08-20T02:29:59ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742025-01-01221182810.1080/09728600.2024.2368136Covering energy, linear sum and vertical sum of posetsVandana P. Bhamre0Madukar M. Pawar1Deptartment of Mathematics, Pratap College, Amalner, Jalgaon, Maharashtra, IndiaDeptartment of Mathematics, S. S. V. P. S’s. Late Kr. Dr. P. R. Ghogrey Science College, Dhule, Maharashtra, IndiaThe concept of the covering energy of a poset is known. In this paper, we obtain a relation between the characteristic polynomials of the linear sum of two bounded posets and its components. Also, relations between covering energies of given posets and their linear sum as well as vertical sum are obtained. Eigenvalues and covering energies of some particular types of posets are also studied.https://www.tandfonline.com/doi/10.1080/09728600.2024.2368136Covering energy of a poseteigenvaluespectrumlinear sumvertical sum06A07 |
| spellingShingle | Vandana P. Bhamre Madukar M. Pawar Covering energy, linear sum and vertical sum of posets AKCE International Journal of Graphs and Combinatorics Covering energy of a poset eigenvalue spectrum linear sum vertical sum 06A07 |
| title | Covering energy, linear sum and vertical sum of posets |
| title_full | Covering energy, linear sum and vertical sum of posets |
| title_fullStr | Covering energy, linear sum and vertical sum of posets |
| title_full_unstemmed | Covering energy, linear sum and vertical sum of posets |
| title_short | Covering energy, linear sum and vertical sum of posets |
| title_sort | covering energy linear sum and vertical sum of posets |
| topic | Covering energy of a poset eigenvalue spectrum linear sum vertical sum 06A07 |
| url | https://www.tandfonline.com/doi/10.1080/09728600.2024.2368136 |
| work_keys_str_mv | AT vandanapbhamre coveringenergylinearsumandverticalsumofposets AT madukarmpawar coveringenergylinearsumandverticalsumofposets |