4 papers
Local Orientation-Preserving Symmetry Preserving Operations on Polyhedra
Pieter Goetschalckx, Kris Coolsaet, Nico Van Cleemput
Unifying approaches by amongst others Archimedes, Kepler, Goldberg, Caspar and Klug, Coxeter, and Conway, and extending on a previous formalisation of the concept of local symmetry…
Generation of Delaney-Dress graphs
Nico Van Cleemput
We introduce an algorithm for the efficient generation of cubic pregraphs which have a 2-factor in which each component is a quotient of . This class of pregraphs is of partic…
Automated Conjecturing VII: The Graph Brain Project & Big Mathematics
N. Bushaw, C. E. Larson, N. Van Cleemput
The Graph Brain Project is an experiment in how the use of automated mathematical discovery software, databases, large collaboration, and systematic investigation provide a model f…
Hamiltonian-connectedness of triangulations with few separating triangles
Nico Van Cleemput
We prove that 3-connected triangulations with at most one separating triangle are hamiltonian-connected. In order to show bounds on the strongest form of this theorem, we proved th…