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We characterize those 1-ended word hyperbolic groups whose Gromov boundariesare homeomorphic to trees of graphs, the family of simplest connected1-dimensional spaces appearing among Gromov boundaries. The characterizationrefers to the features of the Bowditch JSJ splitting of the correspondinggroups (i.e their canonical JSJ splitting over 2-ended subgroups).

Trees of Graphs as Boundaries of Hyperbolic Groups