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We study the existence and topological stability of Fermi points in agraphene layer and stacks with many layers. We show that the discretesymmetries (spacetime inversion) stabilize the Fermi points in monolayer,bilayer and multilayer graphene with orthorhombic stacking. The bands near$k=0$ and $\epsilon=0$ in multilayers with the Bernal stacking depend on theparity of the number of layers, and Fermi points are unstable when the numberof layers is odd. The low energy changes in the electronic structure induced bycommensurate perturbations which mix the two Dirac points are alsoinvestigated.Comment: 6 pages, 6 figures. Expanded version as will appear in PR

Existence and topological stability of Fermi points in multilayered graphene