# Bounding the bandwidth of NP-complete problems

Conference paper

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## Abstract

We study in this paper how the computational behaviour of NIP-complete graph problems is influenced by imposing a bound on the bandwidth. We show:

- (i)
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.

- (ii)
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.

## Keywords

Schedule Problem Polynomial Time Turing Machine conjUnctive Normal Form Graph Problem
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## References

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## Copyright information

© Springer-Verlag Berlin Heidelberg 1981