An analysis of unfolding of inhomogenous polarization distribution of the vector Laguerre-Gaussian beam into polarization singular structure is presented. A linearly polarized Gaussian beam is used as a reference beam to probe the vector singular behavior of the beam. It is found that the singularity at the center of the beam disappear and it appears as the peripheral V-points with characteristic polarization distribution. Different kinds of V-point singularity is observed in the beam cross section. During propagation these vector singularities transformed into polarization singularity triplets. The present result have important implication in understanding the finer structural details of the cylindrically polarized vector beams.