Bera, S (2021) Enumeration of weighted paths on a digraph and block hook determinant. In: Special Matrices, 9 (1). pp. 197-211.
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Official URL: https://doi.org/10.1515/spma-2020-0130
Abstract
In this article, we evaluate determinants of "block hook"matrices, which are block matrices consist of hook matrices. In particular, we deduce that the determinant of a block hook matrix factorizes nicely. In addition we give a combinatorial interpretation of the aforesaid factorization property by counting weighted paths in a suitable weighted digraph. © 2021 Sudip Bera, published by De Gruyter 2021.
| Item Type: | Journal Article |
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| Publication: | Special Matrices |
| Publisher: | De Gruyter Open Ltd |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 10 Aug 2021 06:56 |
| Last Modified: | 10 Aug 2021 06:56 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69131 |
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