enumeration of weighted paths on a digraph and block hook determinant
Combinatorics
2019-12-04 v1
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.
Keywords
Cite
@article{arxiv.1912.01338,
title = {enumeration of weighted paths on a digraph and block hook determinant},
author = {Sudip Bera},
journal= {arXiv preprint arXiv:1912.01338},
year = {2019}
}
Comments
18 pages,6 figures