8 citations · 11 across the 4 of their papers we have counts for
4 papers · 1 filter
On the Number of Facets of Three-Dimensional Dirichlet Stereohedra IV: Quarter Cubic Groups
Pilar Sabariego, Francisco Santos
In this paper we finish the intensive study of three-dimensional Dirichlet stereohedra started by the second author and D. Bochis, who showed that they cannot have more than 80 fac…
Triple-loop networks with arbitrarily many minimum distance diagrams
Pilar Sabariego, Francisco Santos
Minimum distance diagrams are a way to encode the diameter and routing information of multi-loop networks. For the widely studied case of double-loop networks, it is known that eac…
On the Number of Facets of Three-Dimensional Dirichlet Stereohedra III: Full Cubic Groups
Pilar Sabariego, Francisco Santos
We are interested in the maximum possible number of facets that Dirichlet stereohedra for three-dimensional crystallographic groups can have. The problem for non-cubic groups was s…
On the number of facets of three-dimensional Dirichlet stereohedra II: Non-cubic Groups
Daciana Bochis, Francisco Santos
We prove that Dirichlet stereohedra for non-cubic crystallographic groups in dimension 3 cannot have more than 80 facets. The bound depends on the particular crystallographic group…