Reduced fidelity, entanglement and quantum phase transition in the one-dimensional bond-alternating S = 1 Heisenberg chainJ. J. Jiang, Y. J. Liu, F. Tang and C. H. YangEur. Phys. J. B, 83 1 (2011) 1-5DOI: https://doi.org/10.1140/epjb/e2011-20035-0