6 citations · 16 across the 14 of their papers we have counts for
Showing 2003 · math.COShow all
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math.CO2003
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…
math.CO2003
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…
math.CO2003
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…