  We survey Bernstein-type theorems of graphical surfaces in the Euclidean
space and the Lorentz-Minkowski space. More specifically, we explain several
proofs of the Bernstein theorem for minimal graphs in the Euclidean 3-space.
Furthermore, we show the Heinz-type mean curvature estimates for graphs in the
Euclidean 3-space and space-like graphs in the Lorentz-Minkowski 3-space. As an
application of these estimates, we give Bernstein-type theorems for constant
mean curvature graphs in the Euclidean 3-space and constant mean curvature
space-like graphs in the Lorentz-Minkowski 3-space, respectively. We also study
Bernstein-type results for minimal graphs in the Euclidean 4-space and the
Calabi-Bernstein theorem in the Lorentz-Minkowski 3-space.
