Holder gradient estimates for a class of singular or degenerate parabolic equations

We prove interior Holder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic equation u(t)= vertical bar del u vertical bar(k )div(vertical bar del u vertical bar(p-2)del u), where p epsilon (1, infinity) and kappa epsilon (1 - p, infinity). This includes the from L-infinity to C-1,C-alpha regularity for parabolic p-Laplacian equations in both divergence form with kappa = 0, and non-divergence form with kappa = 2 - p.