Pattern formation by mobile robots with limited visibility

Yukiko Yamauchi, Masafumi Yamashita

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Citations (Scopus)

Abstract

We investigate the pattern formation problem by mobile robots with limited visibility that can observe the positions of robots within limited distance. For robots with unlimited visibility, Fujinaga et al. (DISC 2012) showed that asynchronous oblivious robots have the same formation power as fully-synchronous non-oblivious robots, that is, starting from any initial configuration I , target pattern F is formable if and only if ρ(I) divides ρ(F) where ρ(•) is the geometric symmetricity. We first show that fully-synchronous oblivious robots with limited visibility cannot form F even when ρ(I) divides ρ(F). Hence, limited visibility substantially weakens the formation power of oblivious robots. Secondly, we show that despite limited visibility, semi-synchronous robots with rigid moves, and fully-synchronous robots with non-rigid moves have the same formation power as robots with unlimited visibility. Consequently, local memory is necessary and sufficient for these robots.

Original languageEnglish
Title of host publicationStructural Information and Communication Complexity - 20th International Colloquium, SIROCCO 2013, Revised Selected Papers
Pages201-212
Number of pages12
DOIs
Publication statusPublished - Dec 1 2013
Event20th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2013 - Ischia, Italy
Duration: Jul 1 2013Jul 3 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8179 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other20th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2013
CountryItaly
CityIschia
Period7/1/137/3/13

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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    Yamauchi, Y., & Yamashita, M. (2013). Pattern formation by mobile robots with limited visibility. In Structural Information and Communication Complexity - 20th International Colloquium, SIROCCO 2013, Revised Selected Papers (pp. 201-212). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8179 LNCS). https://doi.org/10.1007/978-3-319-03578-9_17