Enumeration of weighted paths on a digraph and block hook determinant

نویسندگان

چکیده

Abstract In this article, we evaluate determinants of “block hook” matrices, which are block matrices consist hook matrices. particular, deduce that the determinant a matrix factorizes nicely. addition give combinatorial interpretation aforesaid factorization property by counting weighted paths in suitable digraph.

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ژورنال

عنوان ژورنال: Special Matrices

سال: 2021

ISSN: ['2300-7451']

DOI: https://doi.org/10.1515/spma-2020-0130