Deterministic rendezvous, treasure hunts, and strongly universal exploration sequences

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Abstract

We obtain several improved solutions for the deterministic rendezvous problem in general undirected graphs. Our solutions answer several problems left open by Dessmark et al.We also introduce an interesting variant of the rendezvous problem, which we call the deterministic treasure hunt problem. Both the rendezvous and the treasure hunt problems motivate the study of universal traversal sequences and universal exploration sequences with some strengthened properties. We call such sequences strongly universal traversal (exploration) sequences. We give an explicit construction of strongly universal exploration sequences. The existence of strongly universal traversal sequences, as well as the solution of the most difficult variant of the deterministic treasure hunt problem, are left as intriguing open problems.

Original languageEnglish
Article number12
JournalACM Transactions on Algorithms
Volume10
Issue number3
DOIs
StatePublished - Jun 2014

Keywords

  • Mobile robots
  • Rendezvous
  • Treasure hunt
  • Universal exploration sequences
  • Universal traversal sequences

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