Log-Space constructible universal traversal sequences for cycles of length O(n4.03)

  • Authors:
  • Michal Koucký

  • Affiliations:
  • Department of Computer Science, Rutgers University, Piscataway, NJ

  • Venue:
  • Theoretical Computer Science - Computing and combinatorics
  • Year:
  • 2003

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Abstract

The paper presents a simple construction of polynomial length universal traversal sequences for cycles. These universal traversal sequences are log-space (even NC1) constructible and are of length O(n4.03). Our result improves the previously known upper-bound O(n4.76) for log-space constructible universal traversal sequences for cycles.