TY - GEN

T1 - Asynchronous pattern formation by anonymous oblivious mobile robots

AU - Fujinaga, Nao

AU - Yamauchi, Yukiko

AU - Kijima, Shuji

AU - Yamashita, Masafumi

PY - 2012/11/9

Y1 - 2012/11/9

N2 - We present an oblivious pattern formation algorithm for anonymous mobile robots in the asynchronous model. The robots obeying the algorithm, starting from any initial configuration I, always form a given pattern F, if I and F do not contain multiplicities and ρ(I) divides ρ(F), where ρ(·) denotes the geometric symmetricity. Our algorithm substantially outdoes an algorithm by Dieudonné et al. proposed in DISC 2010, which is dedicated to ρ(I) = 1. Our algorithm is best possible (as long as I and F do not contain multiplicities), since there is no algorithm that always forms F from I when ρ(F) is not divisible by ρ(I). All known pattern formation algorithms are constructed from scratch. We instead use a bipartite matching algorithm (between the robots and the points in F) we proposed in OPODIS 2011 as a core subroutine, to make the description of algorithm concise and easy to understand.

AB - We present an oblivious pattern formation algorithm for anonymous mobile robots in the asynchronous model. The robots obeying the algorithm, starting from any initial configuration I, always form a given pattern F, if I and F do not contain multiplicities and ρ(I) divides ρ(F), where ρ(·) denotes the geometric symmetricity. Our algorithm substantially outdoes an algorithm by Dieudonné et al. proposed in DISC 2010, which is dedicated to ρ(I) = 1. Our algorithm is best possible (as long as I and F do not contain multiplicities), since there is no algorithm that always forms F from I when ρ(F) is not divisible by ρ(I). All known pattern formation algorithms are constructed from scratch. We instead use a bipartite matching algorithm (between the robots and the points in F) we proposed in OPODIS 2011 as a core subroutine, to make the description of algorithm concise and easy to understand.

UR - http://www.scopus.com/inward/record.url?scp=84868375501&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868375501&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-33651-5_22

DO - 10.1007/978-3-642-33651-5_22

M3 - Conference contribution

AN - SCOPUS:84868375501

SN - 9783642336508

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 312

EP - 325

BT - Distributed Computing - 26th International Symposium, DISC 2012, Proceedings

T2 - 26th International Symposium on Distributed Computing, DISC 2012

Y2 - 16 October 2012 through 18 October 2012

ER -