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The ($d$,1)-total labelling of graphs was introduced by Havet and Yu. In thispaper, we prove that, for planar graph $G$ with maximum degree $\Delta\geq12$and $d=2$, the (2,1)-total labelling number $\lambda_2^T(G)$ is at most$\Delta+2$.

(2,1)-Total labeling of planar graphs with large maximum degree