Alternating Power Difference and Matrix Symmetry: Closed-Form Formulas for the First Appearance Degree $m_1$

Kenichi Takemura

This paper focuses on an integer-valued function $f_A(\sigma ):=\mathrm{tr}(A{P}_{\sigma })$ defined uniformly from a specific square matrix $A$ of order $n$ and a permutation $\sigma$ on the…