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Hamiltonian Paths in Cartesian Powers of Directed Cycles

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Abstract

The vertex set of the k th cartesian power of a directed cycle of length m can be naturally identified with the abelian group (ℤ m )k. For any two elements u=(u 1,…,u k ) and v=(v 1,…,v k ) of (ℤ m )k, it is easy to see that if there is a hamiltonian path from u to v, then

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Grand Valley State University, Allendale, MI, 49401, USA

    David Austin

  2. Department of Mathematics, Illinois State University, Normal, IL, 61790-4520, USA

    Heather Gavlas

  3. Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078, USA

    Dave Witte

Authors
  1. David Austin
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  2. Heather Gavlas
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  3. Dave Witte
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Correspondence to Heather Gavlas.

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Austin, D., Gavlas, H. & Witte, D. Hamiltonian Paths in Cartesian Powers of Directed Cycles. Graphs and Combinatorics 19, 459–466 (2003). https://doi.org/10.1007/s00373-002-0519-3

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  • DOI: https://doi.org/10.1007/s00373-002-0519-3

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