IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4614-0110-0_18.html
   My bibliography  Save this book chapter

Discrete Geometry on Red and Blue Points in the Plane Lattice

In: Thirty Essays on Geometric Graph Theory

Author

Listed:
  • Mikio Kano

    (Ibaraki University, Department of Computer and Information Sciences)

  • Kazuhiro Suzuki

    (Kochi University, Department of Information Science)

Abstract

We consider some problems on red and blue points in the plane lattice. An L-line segment in the plane lattice consists of a vertical line segment and a horizontal line segment having a common endpoint. There are some results on geometric graphs on a set of red and blue points in the plane. We show that some similar results also hold for a set of red and blue points in the plane lattice using L-line segments instead of line segments. For example, we show that if n red points and n blue points are given in the plane lattice in general position, then there exists a noncrossing geometric perfect matching covering them, each of whose edges is an L-line segment and connects a red point and a blue point.

Suggested Citation

  • Mikio Kano & Kazuhiro Suzuki, 2013. "Discrete Geometry on Red and Blue Points in the Plane Lattice," Springer Books, in: János Pach (ed.), Thirty Essays on Geometric Graph Theory, pages 355-369, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-0110-0_18
    DOI: 10.1007/978-1-4614-0110-0_18
    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_18. 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.