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For any linear quotient of a sphere, X = Sn−1/Γ, where Γ is an elementary abelian p–group, there is a corresponding Fp representable matroid MX which only depends on the isometry class of X. Whe...
Characterizations of transversal and fundamental transversal matroids
Matroid transversal matroid fundamental transversal matroid
2010/12/8
A result of Mason, as refined by Ingleton, characterizes transversal matroids as the matroids that satisfy a set of inequalities that relate the ranks of intersections and unions of nonempty sets of c...
Triangulations of $\Delta_{n-1} \times \Delta_{d-1}$ and Tropical Oriented Matroids
Triangulations $\Delta_{n-1} \times \Delta_{d-1}$ Tropical Oriented Matroids
2010/12/13
Develin and Sturmfels showed that regular triangulations of n1 d1 can be thought
as tropical polytopes. Tropical oriented matroids were de ned by Ardila and Develin, and were
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