Let Q be the finite classical polar space of rank ν ≥ 1 over Fq, and Qm be the set of all m-dimensional subspaces of Q. In this paper, we introduce the (m, 2)-graph with Qm as its vertex set, and two vertices P,Q are adjacent if and only if P + Q is an (m +2)-dimensional subspace of Q. The full automorphism group of (m, 2)-graph is determined.
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