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A note on the hardness of Skolem-type sequences
Authors:Gustav Nordh
Institution:Department of Computer and Information Science, Linköpings Universitet, S-581 83 Linköping, Sweden
Abstract:The purpose of this note is to give upper bounds (assuming View the MathML source different from View the MathML source) on how far the generalizations of Skolem sequences can be taken while still hoping to resolve the existence question. We prove that the existence questions for both multi-Skolem sequences and generalized Skolem sequences are strongly View the MathML source-complete. These results are significant strengthenings and simplifications of the recent View the MathML source-completeness result for generalized multi-Skolem sequences.
Keywords:Skolem sequence  _method=retrieve&  _eid=1-s2  0-S0166218X10000181&  _mathId=si5  gif&  _pii=S0166218X10000181&  _issn=0166218X&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=2ef838ef7d16fe9e1929490866152eb6')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourcesciencedirect  com/content/image/1-s2  0-S0166218X10000181-si5  -completeness" target="_blank">gif">-completeness  Coupled task scheduling
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