Supplementary Materials for "L-infinity optimization to linear spaces and phylogenetic trees"

This webpage contains supplementary material for the paper L-infinity optimization to linear spaces and phylogenetic trees by Daniel Irving Bernstein and Colby Long. 

We provide a Maple worksheet which generates the polyhedral subdivision of the space of dissimilarity maps on four elements referenced therein. The polyhedral subdivision is stored in a 37-element array called "Districts." Each entry of the array is a two-element list where the second entry is a set of trees and the first entry is a list of polyhedral cones comprising the district labeled by those trees. To execute these computations in Maple:

1) Check that you have a version of Maple that supports the package PolyhedralSets (available in Maple2015 and later versions)
2) Download and unzip this file
3) Open the file MapleSupplement_4LeafDistricts.mw in Maple
4) Evaluate the worksheet (this could take an hour or so)