6 citations · 21 across the 22 of their papers we have counts for
4 papers · 1 filter
On the rank of a tropical matrix
M. Develin, F. Santos, B. Sturmfels
This is a foundational paper in tropical linear algebra, which is linear algebra over the min-plus semiring. We introduce and compare three natural definitions of the rank of a mat…
Maximal triangulations of a regular prism
Mike Develin
In this paper, we resolve two conjectures of De Loera, Santos, and Takeuchi in the affirmative, computing the maximal size of any regular triangulation of the -prism and -ant…
Markov bases of binary graph models
Mike Develin, Seth Sullivant
This paper is concerned with the topological invariant of a graph given by the maximum degree of a Markov basis element for the corresponding graph model for binary contingency tab…
Tropical Convexity
Mike Develin, Bernd Sturmfels
The notions of convexity and convex polytopes are introduced in the setting of tropical geometry. Combinatorial types of tropical polytopes are shown to be in bijection with regula…