44 citations · 182 across the 28 of their papers we have counts for
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math.GR2008★ 14 cited
Wythoff polytopes and low-dimensional homology of Mathieu groups
Mathieu Dutour Sikiric, Graham Ellis
We describe two methods for computing the low-dimensional integral homology of the Mathieu simple groups and use them to make computations such as $H_5(M_{23},\ZZ)=\ZZ_7$ and $H_3(…
math.CO2008★ 1 cited
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…
math.MG2008★ 44 cited
Complexity and algorithms for computing Voronoi cells of lattices
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
In this paper we are concerned with finding the vertices of the Voronoi cell of a Euclidean lattice. Given a basis of a lattice, we prove that computing the number of vertices is a…