Exact extremizers for $\ell_p$-judicious bisections of triangle-free graphs

Balogh, Clemen and Lidický asked how large the minimum $\ell_p$-norm of the internal-edge counts over balanced partitions of an $n$-vertex triangle-free graph can be. For each fixed $2<p<\infty$ and all sufficiently large even $n$, we determine this value exactly for bisections and characterize all