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Exploiting Air-Pressure to Map Floorplans on Point Sets

  • Stefan Felsner
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8242)

Abstract

We prove a conjecture of Ackerman, Barequet and Pinter. Every floorplan with n segments can be embedded on every set of n points in generic position. The construction makes use of area universal floorplans also known as area universal rectangular layouts.

The notion of area used in our context depends on a nonuniform density function. We, therefore, have to generalize the theory of area universal floorplans to this situation. The method is then used to prove a result about accommodating points in floorplans that is slightly more general than the conjecture of Ackerman et al.

Keywords

Planar Graph Coordinate Vector Vertical Segment Transversal Structure Clockwise Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Stefan Felsner
    • 1
  1. 1.Institut für MathematikTechnische Universität BerlinGermany

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