2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CO2024
Generalizations of cyclic polytopes
Tibor Bisztriczky
Cyclic polytopes have been studied since at least the early last century by Caratheodory and others.A generalization is a construction of a class of polytopes such that the polytop…
math.CO2006
On Gale and braxial polytopes
Margaret M. Bayer, Tibor Bisztriczky
Cyclic polytopes are characterized as simplicial polytopes satisfying Gale's evenness condition (a combinatorial condition on facets relative to a fixed ordering of the vertices).…
math.CO2006★ 2 cited
On braxtopes, a class of generalized simplices
Margaret M. Bayer, Tibor Bisztriczky
In a d-simplex every facet is a (d-1)-simplex. We consider as generalized simplices other combinatorial classes of polytopes, all of whose facets are in the class. Cubes and multip…