The rank convergence of HITS can be slow
  We prove that HITS, to "get right" h of the top k ranked nodes of an N>=2k node graph, can require h^(Omega(N h/k)) iterations (i.e. a substantial Omega(N h log(h)/k) matrix multiplications even with a "squaring trick"). Our proof requires no algebraic tools and is entirely self-contained. 
Enoch Peserico and Luca Pretto