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This work deals with the synchronization on Rank 3 graph. Rank 3 graphs have better symmetry properties.
Reconstructing graph structure by utilized the orbit of symmetric properties of Rank 3 graph. Our main result in this paper
is research the synchronization of Rank 3 graph by Kuramoto model, includes the lattice graph, triangular graph, and
paley graph. The results show that the reduction Rank 3 graphs have better synchronization.