3 citations · 3 across the 2 of their papers we have counts for
6 papers
Zigzag Structure of Simple Two-faced Polyhedra
M. Deza, M. Dutour
A zigzag in a plane graph is a circuit of edges, such that any two, but no three, consecutive edges belong to the same face. A railroad in a plane graph is a circuit of hexagonal f…
4-valent plane graphs with 2-, 3- and 4-gonal faces
M. Deza, M. Dutour, M. Shtogrin
Call {\em i-hedrite} any 4-valent n-vertex plane graph, whose faces are 2-, 3- and 4-gons only and . The edges of an i-hedrite, as of any Eulerian plane graph, are parti…
Small cones of oriented semi-metrics
M. Deza, M. Dutour, E. Panteleeva
We consider polyhedral cones, associated with quasi-semi-metrics (oriented distances), in particular, with oriented multi-cuts, on n points. We computed the number of facets and of…
Maps of p-gons with a ring of q-gons
M. Deza, V. Grishukhin
We study 3-valent maps consisting of a ring of -gons whose the inner and outer domains are filled by -gons, for . We describe a domain in the space…
Three, four and five-dimensional fullerenes
M. Deza, M. I. Shtogrin
We explore some generalizations of fullerenes F_v (simple polyhedra with v vertices and only 5- and 6-gonal faces) seen as (d-1)-dimensional simple manifolds (preferably, spherical…
Uniform partitions of 3-space, their relatives and embedding
M. Deza, M. I. Shtogrin
We review 28 uniform partitions of 3-space in order to find out which of them have graphs (skeletons) embeddable isometrically (or with scale 2) into some cubic lattice …