Enumeration of weighted paths on a digraph and block hook determinant
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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.
2019 ◽
Vol 22
(02)
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pp. 1950013
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2016 ◽
Vol 284
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pp. 12-23
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1987 ◽
Vol 70
(2)
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pp. 402-425
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