3 papers
math.CO2005
Elementary elliptic -polycycles
Michel Deza, Mathieu Dutour, Mikhail Shtogrin
We consider the following generalization of the decomposition theorem for polycycles. A {\em -polycycle} is, roughly, a plane graph, whose faces, besides some disjoint {\em…
math.GT2003
On simplicial and cubical complexes with short links
Michel Deza, Mathieu Dutour, Mikhail Shtogrin
We consider closed simplicial and cubical -complexes in terms of link of their -faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every $(n-2…
math.MG1999
Embedding of regular tilings and star-honeycomb
M. Deza, M. I. Shtogrin
We review the regular tilings of d-sphere, Euclidean d-space, hyperbolic d-space and Coxeter's regular hyperbolic honeycombs (with infinite or star-shaped cells or vertex figures)…