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math.CO2007★ 2 cited
Automorphism groups of root systems matroids
Mathieu Dutour Sikiric, Anna Felikson, Pavel Tumarkin
Given a root system , the vector system is obtained by taking a representative in each antipodal pair . The matroid …
math.CO2007★ 1 cited
The decomposition of the hypermetric cone into L-domains
Mathieu Dutour Sikiric, Viatcheslav Grishukhin
The hypermetric cone $\HYP_{n+1}$ is the parameter space of basic Delaunay polytopes in n-dimensional lattice. The cone $\HYP_{n+1}$ is polyhedral; one way of seeing this is that m…