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We report a computer simulation study of the influence of topological constraints on the statics and dynamics of single ring polymers and ring polymers in the melt. We show that single rings have identical static and dynamic scaling behavior regardless of the presence of topological constraints. For rings in the melt we find that the scaling behavior is significantly influenced by the presence of topological constraints.doi:10.1103/physreve.63.052801 pmid:11414945 fatcat:hj6hbc4q7faehezwyfxcs57eue