  We compute the holographic entanglement entropy in the gravity with higher
curvature terms dual to d=4 N=2 SCFTs in F-theory using the method proposed in
arXiv:1011.5819. The log term of this entanglement entropy reproduces the
A-type anomaly of the dual SCFTs in F- theory using the gravity dual with the
higher derivative term, which, using the field redefinition, can be transformed
to the Gauss-Bonnet term in the subleading order of a derivative expansion. Our
analysis shows that the 1/N^2 correction for the central charges should be
produced from the gravity including higher derivative terms up to curvature
squared terms. To obtain consistent results, we discuss the holographic
c-theorem.
