Before revision:  This }  matches the best known static algorithm , up to polylogarithmic factors for a wide range of settings. The currently best known algorithm for the problem is obtained by running the single-source algorithm of Henzinger, Krinninger and Nanongkai, FOCS'14 independently from each source.
After revision:  This } matches the best known static algorithm , up to polylogarithmic factors Henzinger, Krinninger and Nanongkai, FOCS'14 independently from each source.