On the Number of Facets of Three-Dimensional Dirichlet Stereohedra IV: Quarter Cubic Groups (2007)
Sabariego, Pilar, Santos, Francisco
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 facets, except perhaps...
Triple-loop networks with arbitrarily many minimum distance diagrams (2007)
Sabariego, Pilar, Santos, Francisco
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 each network has at...
On the Number of Facets of Three-Dimensional Dirichlet Stereohedra III: Full Cubic Groups (2006)
Sabariego, Pilar, Santos, Francisco
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 studied in previous...