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math.CO2022
A note on unavoidable patterns in locally dense colourings
António Girão, David Munhá Correia
We show that there is a constant such that for every any -coloured with minimum degree at least in both colours contains a complete…
math.CO2022
Pancyclicity of Hamiltonian graphs
Nemanja Draganić, David Munhá Correia, Benny Sudakov
An -vertex graph is Hamiltonian if it contains a cycle that covers all of its vertices, and it is pancyclic if it contains cycles of all lengths from up to . In 1972, Erd…
math.CO2022
Uniform Turán density of cycles
Matija Bucić, Jacob W. Cooper, Daniel Kráľ +2
In the early 1980s, Erdős and Sós initiated the study of the classical Turán problem with a uniformity condition: the uniform Turán density of a hypergraph is the infimum over…