  The phase transition between the valence-bond-solid (VBS) and nematic phases,
the so-called deconfined criticality, was investigated for the quantum S=1-spin
model on the spatially anisotropic triangular lattice with the biquadratic
interaction by means of the numerical diagonalization method. We calculated
both VBS- and nematic-order parameters, aiming to clarify the nature of this
transition from complementary viewpoints. Simulating the clusters with N \le 20
spins, we estimate the correlation-length critical exponent as \nu=0.95(14). We
also calculated Fisher's exponent (anomalous dimension) for each order
parameter.
