We derive some general results on the symmetries of equivelar toroids and provide detailed analysis of the subgroup lattice structure of the dihedral group ▫$D_4$▫ and of the octahedral group to complete classification by symmetry type of those in ranks 3 and 4.
COBISS.SI-ID: 16478297
A monograph on approaches for logistic optimization of warehouses and related logistic systems.
COBISS.SI-ID: 264707072
The well-known Petersen graph ▫$G(5,2)$▫ admits drawing in the ordinary Euclidean plane in such a way that each edge is represented as a line segment of length 1. When teo vertices are drawn as the same point in the Euclidean plane, drawings are said to be e degenerate. In this paper we investigate all such degenerate drawings of the Petersen graph and various relationships among them. A heavily degenerate unit distance planar representation, where the representation of a vertex lies in the interior of the representation of an edge, it does not belong to, is also shown.
COBISS.SI-ID: 16312665