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math.CO2026
Explicit Fractalizers: Prime-Order Paley Graphs and other Cayley Graphs
Aldo Kiem, Fan Wei
The inducibility problem asks for the maximum number of induced copies of a fixed graph among all graphs with a prescribed number of vertices. Inducibility has been an active area…
math.CO2026
A Characterization for Spectral and Trace Positivity of Matrix Words
Frederik Garbe, Fan Wei
In this paper, we provide a complete structural characterization of which words in noncommuting matrix variables and their formal transposes universally evaluate to matrices with n…