We derive several new reformulations of the Hubeny-Rangamani-Takayanagi covariant holographic entanglement entropy formula. These include: (1) a minimax formula, which involves finding maximal-area achronal surface on timelike hypersurface homologous to D(A) (the boundary causal domain region A whose we are calculating) and minimizing over hypersurface; (2) max V-flow in maximize flux through d...