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Enumeration of weighted paths on a digraph and block hook determinant

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


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
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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