Before revision:  Moreover , we show the surprising result that under mild Strong-Law-type assumptions on the file request sequence, the rate of file fetches to the caches approaches to zero under the\textsf{LeadCache policy. Finally\texttt{  , we derive a tight universal regret lower bound for the\textsf{Bipartite Caching problem, which critically makes use of results from graph coloring theory and certifies the announced approximation ratio .
After revision:  Moreover , we show the surprising result that under mild Strong-Law-type assumptions on the file request sequence, the rate of file fetches to the caches approaches to zero under the\textsf{LeadCache under\texttt{ , we derive a tight universal regret lower bound for the\textsf{Bipartite Caching problem, which critically makes use of results from graph coloring theory and certifies the announced approximation ratio .