10 citations · 10 across the 11 of their papers we have counts for
7 papers · 1 filter
Polyhedral Maps of Cubic Graphs with given Automorphism Groups
Ugo Detaille, Meike Weiß, Reymond Akpanya +1
L. Babai introduced a method for constructing a cubic graph whose automorphism group is isomorphic to a given finite group , obtained by modifying a corresponding Cayley graph o…
On 3-Connected Planar Graphs with Unique Orientable Circuit Double Covers
Meike Weiß, Reymond Akpanya, Alice C. Niemeyer
A circuit double cover of a bridgeless graph is a collection of even subgraphs such that every edge is contained in exactly two subgraphs of the given collection. Such a circuit do…
On 3-Connected Cubic Planar Graphs and their Strong Embeddings on Orientable Surfaces
Meike Weiß, Reymond Akpanya, Alice C. Niemeyer
Although the strong embedding of a 3-connected planar graph on the sphere is unique, can have different inequivalent strong embeddings on a surface of positive genus. If $G…
Construction of Toroidal Polyhedra corresponding to perfect Chains of wild Tetrahedra
Reymond Akpanya, Vanishree Krishna Kirekod, Alice C. Niemeyer +1
In 1957, Steinhaus proved that a chain of regular tetrahedra, meeting face-to-face and forming a closed loop does not exist. Over the years, various modifications of this statement…
Interplay of Cubic Graphs and Simplicial Surfaces
Meike Weiß, Alice C. Niemeyer
Simplicial surfaces describe the incidence relations between vertices, edges and faces of triangulated 2-dimensional manifolds in a purely combinatorial way. By considering only th…
Strong Embeddings of 3-Connected Cubic Planar Graphs on Surfaces of non-negative Euler Characteristic
Meike Weiß, Alice C. Niemeyer
Whitney proved that 3-connected planar graphs admit a unique embedding on the sphere. In contrast, Enami investigated embeddings of 3-connected cubic planar graphs on non-spherical…
Topologically Interlocking Blocks inside the Tetroctahedrille
Reymond Akpanya, Tom Goertzen, Alice C. Niemeyer
A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be remove…