Rook-Drawing for Plane Graphs

  • David Auber
  • Nicolas Bonichon
  • Paul Dorbec
  • Claire PennarunEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9411)


Motivated by visualization of large graphs, we introduce a new type of graph drawing called “rook-drawing”. A rook-drawing of a graph G is obtained by placing the n nodes of G on the intersections of a regular grid, such that each row and column of the grid supports exactly one node. This paper focuses on rook-drawings of planar graphs. We first give a linear algorithm to compute a planar straight-line rook-drawing for outerplanar graphs. We then characterize the maximal planar graphs admitting a planar straight-line rook-drawing, which are unique for a given order. Finally, we give a linear time algorithm to compute a polyline planar rook-drawing for plane graphs with at most \(n-3\) bent edges.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • David Auber
    • 1
    • 2
  • Nicolas Bonichon
    • 1
    • 2
  • Paul Dorbec
    • 1
    • 2
  • Claire Pennarun
    • 1
    • 2
    Email author
  1. 1.University of Bordeaux, LaBRI, UMR 5800TalenceFrance
  2. 2.CNRS, LaBRI, UMR 5800TalenceFrance

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