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Conjecture on the number of projection cones defining maximal cells in equidistant tree space
About 18 years old
Projection-cone bound conjecture. Every maximal cell in $\mathcal{Q}_n$ is obtained as the intersection of at most $(n-1)!$ projection cones.
openequidistant-trees polyhedral-geometry tree-reconstruction
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Conjecture on the number of projection cones defining maximal cells in equidistant tree space