Disjoint faces of complementary dimension.
A complete categorization of when generalized Tribonacci sequences can be avoided by additive partitions.
Discrete bidding games.
Tropical convexity.
The moduli space of n tropically collinear points in R.
The tropical semiring (R, min, +) has enjoyed a recent renaissance, owing to its connections to mathematical biology as well as optimization and algebraic geometry. In this paper, we investigate the space of labeled n-point configurations lying on a tropical line in d-space, which is interpretable as the space of n-species phylogenetic trees. This is equivalent to the space of n x d matrices of tropical rank two, a simplicial complex. We prove that this simplicial complex is shellable for dimension...
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