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We study the magnetic phase diagram of two coupled mixed-spin $(1,{1/2})$Heisenberg chains as a function of the frustration parameter related todiagonal exchange couplings. The analysis is performed by using spin-waveseries and exact numerical diagonalization techniques. The obtained phasediagram--containing the Luttinger liquid phase, the plateau phase with amagnetization per rung $M=1/2$, and the fully polarized phase--is closelyrelated to the generic $(J/U,\mu/U)$ phase diagram of the one-dimensional bosonHubbard model.Comment: 4 pages, 2 figure

Magnetic phase diagram of a frustrated ferrimagnetic ladder: Relation to the one-dimensional boson Hubbard model