2 citations · 4 across the 4 of their papers we have counts for
5 papers
Combinatorial cube packings in cube and torus
Mathieu Dutour Sikirić, Yoshiaki Itoh
We consider sequential random packing of cubes with $z\in \frac{1}{N}\ZZ^n$ into the cube and the torus $\QuotS{\RR^n}{2\ZZ^n}$ as . In the cube c…
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 …
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…
Cube packings, second moment and holes
Mathieu Dutour, Yoshiaki Itoh, Alexei Poyarkov
We consider tilings and packings of $\RR^d$ by integral translates of cubes , which are $4\ZZ^d$-periodic. Such cube packings can be described by cliques of an associated…
The hypermetric cone on seven vertices
Mathieu Dutour, Michel Deza
The hypermetric cone is the set of vectors satisfying the inequalities $\sum_{1\leq i<j\leq n} b_ib_jd_{ij}\leq 0 with b_i\in\Z and \sum_{i=1}…