  We perform a simplified analysis of the edge excitations of the canted
antiferromagnetic (CAF) phase of the $\nu=0$ quantum Hall state in both
monolayer and bilayer graphene. Namely, we calculate, within the framework of
quantum Hall ferromagnetism, the mean-field quasiparticle spectrum of the CAF
phase neglecting the modification of the order parameter at the edge. We
demonstrate that, at a fixed perpendicular component $B_\perp$ of the magnetic
field, the gap $\Delta_\text{edge}$ in the edge excitation spectrum gradually
decreases upon increasing the parallel component $B_\parallel$, as the CAF
phase continuously transforms to the fully spin-polarized ferromagnetic (F)
phase. The edge gap closes completely ($\Delta_\text{edge}=0$) once the F
phase, characterized by gapless counter-propagating edge excitations, is
reached at some finite $B_\perp$-dependent value $B_\parallel^*$ and remains
closed upon further increase of $B_\parallel$. This results in an gradual
insulator-metal transition, in which the conductance $G \sim (e^2/h)
\exp(-\Delta_\text{edge}/T)$ grows exponentially with $B_\parallel$ in the
range $0<B_\parallel<B_\parallel^*$, while in the gapped CAF phase, and
saturates to a metallic value $G \sim e^2/h$ in the F phase at
$B_\parallel>B_\parallel^*$. This unique transport feature of the CAF phase
provides a way to identify and distinguish it from other competing phases of
the $\nu=0$ quantum Hall state in a tilted-field experiment.
