Exploiting AirPressure to Map Floorplans on Point SetsFelsner, Stefan (2013) Exploiting AirPressure to Map Floorplans on Point Sets. In: 21st International Symposium, GD 2013, September 2325, 2013 , pp. 196207(Official URL: http://dx.doi.org/10.1007/9783319038414_18). Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/9783319038414_18
AbstractWe 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.
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