3 papers
math.CO2026
Hamiltonian Cycles in Simplicial and Supersolvable Hyperplane Arrangements
Veronika Körber, Tobias Schnieders, Jan Stricker +1
Motivated by the Gray code interpretation of Hamiltonian cycles in Cayley graphs, we investigate the existence of Hamiltonian cycles in tope graphs of hyperplane arrangements, with…
math.AG2026
The Cone Conjecture for Enriques Surfaces in any Characteristic
Simon Brandhorst, Gebhard Martin, Tobias Schnieders
We give a proof of the Morrison-Kawamata cone conjecture for Enriques surfaces independent of their characteristic. It is based on the analysis of certain generically finite morphi…
math.CO2025
Barnette Graphs with Faces up to Size 8 are Hamiltonian
Tobias Schnieders
Barnette's conjecture states that every cubic, bipartite, planar and 3-connected graph is Hamiltonian. Goodey verified Barnette's conjecture for all graphs with faces of size up to…