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A family of determinants associated with a square matrix (2008)

Abstract
We associate with a matrix over an arbitrary field an infinite family of matrices whose sizes vary from one to infinity; their entries are traces of powers of the original matrix. We explicitly evaluate the determinants of matrices in our family. The work is motivated by applications to graph spectra.

Publication details
Download http://arxiv.org/abs/0810.3864
Repository arXiv (United States)
Keywords Mathematics - Combinatorics, 15A15, 05C50
Type text