76 citations · 568 across the 46 of their papers we have counts for
4 papers · 1 filter
On quantitative aspects of a canonisation theorem for edge-orderings
Christian Reiher, Vojtěch Rödl, Marcelo Sales +2
For integers and there are canonical orderings of the edges of the complete -uniform hypergraph with vertex set . These are…
Localised codegree conditions for tight Hamilton cycles in 3-uniform hypergraphs
Pedro Araújo, Simón Piga, Mathias Schacht
We study sufficient conditions for the existence of Hamilton cycles in uniformly dense -uniform hypergraphs. Problems of this type were first considered by Lenz, Mubayi, and Myc…
Minimum pair degree condition for tight Hamiltonian cycles in -uniform hypergraphs
Joanna Polcyn, Christian Reiher, Vojtěch Rödl +3
We show that every 4-uniform hypergraph with vertices and minimum pair degree at least contains a tight Hamiltonian cycle. This degree condition is asymptotic…
High powers of Hamiltonian cycles in randomly augmented graphs
Sylwia Antoniuk, Andrzej Dudek, Christian Reiher +2
We investigate the existence of powers of Hamiltonian cycles in graphs with large minimum degree to which some additional edges have been added in a random manner. For all integers…