IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4614-0110-0_11.html
   My bibliography  Save this book chapter

Mover Problems

In: Thirty Essays on Geometric Graph Theory

Author

Listed:
  • Adrian Dumitrescu

    (University of Wisconsin-Milwaukee, Department of Computer Science)

Abstract

Leo Moser asked what is the region of largest area that can be moved around a right-angled corner in a corridor of unit width? Similarly, what is the region of largest area that can be reversed in a T junction made up of roads of unit width? Can a specific 3-dimensional object pass through a given door? Our survey aims at showing that mover problems are no less challenging even if there are no obstacles other than the objects themselves, but there are many objects to move. We survey some recent results on motion planning and reconfiguration for systems of multiple objects and for modular systems with applications in robotics, and collect some open problems coming out of this line of research.

Suggested Citation

  • Adrian Dumitrescu, 2013. "Mover Problems," Springer Books, in: János Pach (ed.), Thirty Essays on Geometric Graph Theory, pages 185-211, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-0110-0_11
    DOI: 10.1007/978-1-4614-0110-0_11
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4614-0110-0_11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.