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These extended abstracts were among the top papers of those that were chosen for presentation at STACS 2012 in a highly competitive peer-review process (after which only 54 papers out of 274 submission were accepted). Compared with the original extended abstracts the articles have been extended by full proofs and additional results. They underwent a further rigorous reviewing process, following the TOCS standard, completely independent from the selection process of STACS 2012. The topics of thedoi:10.1007/s00224-013-9530-8 fatcat:735tiimi7jax7nxaupttepgxlu