The p-spectral radius of k-partite and k-chromatic uniform hypergraphs
  We characterize the r-graph with maximal p-spectral radius among the k-partite r-graphs of order n, and the 3-graph with maximal p-spectral radius among the k-chromatic 3-graphs of order n. 
L. Kang, V. Nikiforov and X Yuan
math.CO