Reentrant phase transitions and multicompensation points in the mixed-spin Ising ferrimagnet on a decorated Bethe lattice

► Mixed-spin Ising model on decorated Bethe lattices is exactly solved. ► High enough coordination number of Bethe lattice causes reentrant phase transitions. ► Compensation points may appear owing to the next-nearest-neighbour interaction. ► Order and disorder on different sublattices may coexist together.