5 papers
Sparse groups need not be semisparse
Isabel Hubard, Micael Toledo
In 1999 Michael Hartley showed that any abstract polytope can be constructed as a double coset poset, by means of a C-group $\C$ and a subgroup $N \leq \C$. Subgroups $N \leq \C$ t…
Transitive cornerations in maps
Primoz Potocnik, Alejandra Ramos-Rivera, Micael Toledo +1
A corner in a map is an edge-vertex-edge triple consisting of two distinct edges incident to the same vertex. A corneration is a set of corners that covers every arc of the map exa…
Faithful and thin non-polytopal maniplexes
Dimitri Leemans, Micael Toledo
Maniplexes are coloured graphs that generalise maps on surfaces and abstract polytopes. Each maniplex uniquely defines a partially ordered set that encodes information about its st…
Maniplexes with automorphism group
Dimitri Leemans, Micael Toledo
A maniplex of rank is a combinatorial object that generalises the notion of a rank abstract polytope. A maniplex with the highest possible degree of symmetry is called refl…
Cubic vertex-transitive graphs admitting automorphisms of large order
Primož Potočnik, Micael Toledo
A connected graph of order admitting a semiregular automorphism of order is called a -multicirculant. Highly symmetric multicirculants of small valency have been exten…