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Quantum Algorithm for the Longest Trail Problem

Quantum Physics 2021-12-30 v1 Data Structures and Algorithms

Abstract

We present the quantum algorithm for the Longest Trail Problem. The problem is to search the longest edge-simple path for a graph with nn vertexes and mm edges. Here edge-simple means no edge occurs in the path twice, but vertexes can occur several times. The running time of our algorithm is O(1.728m)O^*(1.728^m).

Keywords

Cite

@article{arxiv.2112.13847,
  title  = {Quantum Algorithm for the Longest Trail Problem},
  author = {Kamil Khadiev and Ruslan Kapralov},
  journal= {arXiv preprint arXiv:2112.13847},
  year   = {2021}
}

Comments

RuFiDim 2021. arXiv admin note: substantial text overlap with arXiv:2112.13319