Upper Hessenberg Bohemian matrices with entries in {-1,0,1} yield characteristic polynomials of maximal height that grow exponentially with matrix order, with explicit polynomials, bounds, an asymptotic conjecture, and theorems on normal and stable matrices identified.
Baez, The beauty of roots, Available at: https://johncarlosbaez.wordpress.com/2011/12/11/the- beauty-of-roots/, (2011)
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Upper Hessenberg and Toeplitz Bohemians
Upper Hessenberg Bohemian matrices with entries in {-1,0,1} yield characteristic polynomials of maximal height that grow exponentially with matrix order, with explicit polynomials, bounds, an asymptotic conjecture, and theorems on normal and stable matrices identified.