Collision-free network exploration

Jurek Czyzowicz, Dariusz Dereniowski, Leszek Gąsieniec, Ralf Klasing, Adrian Kosowski, Dominik Pająk

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Mobile agents start at different nodes of an n-node network. The agents synchronously move along the network edges in a collision-free way, i.e., in no round two agents may occupy the same node. An agent has no knowledge of the number and initial positions of other agents. We are looking for the shortest time required to reach a configuration in which each agent has visited all nodes and returned to its starting location. In the scenario when each mobile agent knows the map of the network, we provide tight (up to a constant factor) lower and upper bounds on the collision-free exploration time in arbitrary graphs, and the exact bound for the trees. In the second scenario, where the network is unknown to the agents, we propose collision-free exploration strategies running in O(n2) rounds in tree networks and in O(n5log⁡n) rounds in networks with an arbitrary topology.

Original languageEnglish (US)
Pages (from-to)70-81
Number of pages12
JournalJournal of Computer and System Sciences
StatePublished - Jun 1 2017
Externally publishedYes


  • Mobile agents
  • Network exploration
  • Synchronous agents

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Networks and Communications
  • Computational Theory and Mathematics
  • Applied Mathematics


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