Bounding the bandwidth of NP-complete problems
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A large number of problems are considerably simpler for graphs of small bandwidth. On the other hand, there are problems which remain NIP-complete even for graphs of bandwidth 3.
A large number of problems are equivalent under reductions which preserve bandwidth. All these problems are complete under bandwidth preserving reductions for a class RPP, which is defined by nondeterministic Turing machines operating with some space bound and simultaneous polynomial time. This indicates, because of earlier results, that "bandwidth" plays the same role for graph problems as "maximal number" does for number problems.
KeywordsSchedule Problem Polynomial Time Turing Machine conjUnctive Normal Form Graph Problem
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