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For the discrete Cucker-Smale's flocking model with a singular communicationweight $\psi(s) = s^{-\alpha}$, with $0<\alpha<1/2$ , we prove that thevelocity component of certain type of weak solutions is absolutly continuous.This result enables us to obtain existence and uniqeness of global solutions.

Discrete Cucker-Smale's flocking model with a weakly singular weight