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Quantum Complexity Bounds for Independent Set Problems

Quantum Physics 2007-05-23 v3

Abstract

We present quantum complexity lower and upper bounds for independent set problems in graphs. In particular, we give quantum algorithms for computing a maximal and a maximum independent set in a graph. We present applications of these algorithms for some graph problems. Our results improve the best classical complexity bounds for the corresponding problems.

Keywords

Cite

@article{arxiv.quant-ph/0510084,
  title  = {Quantum Complexity Bounds for Independent Set Problems},
  author = {Sebastian Doern},
  journal= {arXiv preprint arXiv:quant-ph/0510084},
  year   = {2007}
}

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12 pages, 0 figures