The spectral radius of $k$-chromatic $r$-graphs

Xizhi Liu, Junchi Luo

For an $r$-uniform hypergraph $G$, let ${\lambda }^{(p)}(G)$ denote its $p$-spectral radius, defined as the maximum of the polyform of $G$ over the unit sphere in the ${\ell }_p$-norm. Let $Q_…