The Houses and Utilities Crossing Problem
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The edges that connect each utility (green disks) to each house (blue squares) are in a single color. Each house in turn has a spectrum of colored edges that connect it to each utility. The red points are crossing points of utility lines. The object is to minimize the number of crossings for a particular set of utilities and houses by shifting their locations.
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Contributed by: Ted Erickson (August 2008)
Open content licensed under CC BY-NC-SA
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"The Houses and Utilities Crossing Problem"
http://demonstrations.wolfram.com/TheHousesAndUtilitiesCrossingProblem/
Wolfram Demonstrations Project
Published: August 22 2008