%0 Journal Article %T Rigid gems in dimension n %A Paola Bandieri %A Carlo Gagliardi %J Mathematics %D 2011 %I arXiv %X We extend to dimension $n \geq 3$ the concept of $\rho$-pair in a coloured graph and we prove the existence theorem for minimal rigid crystallizations of handle-free, closed $n$-manifolds. %U http://arxiv.org/abs/1105.0507v1