LAUSR

It has been found that the geometrical diagnostic methods can break the degeneracy for dark energy models. In this paper, we investigate the Om diagnostic, the statefinder hierarchy [Formula: see text] and the composite null diagnostic [Formula: see text] for the Tsallis holographic dark energy models with interactions. We find that model parameters and the forms of interaction will influence the values of diagnostic parameters or the trends of the evolutionary trajectories for each model. Moreover, the statefinder hierarchy [Formula: see text] together with [Formula: see text] could give good diagnostic results. Furthermore, we also obtain some issues of cosmological structure by means of the composite null diagnostic.