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math.CO2025
On a Ramsey--Turán variant of Roth's theorem
Matija Bucić, Micha Christoph, Jaehoon Kim +2
A classical theorem of Roth states that the maximum size of a solution-free set of a homogeneous linear equation in is if and only if the sum of…
math.CO2025
Hamilton cycles in pseudorandom graphs: resilience and approximate decompositions
Nemanja Draganić, Jaehoon Kim, Hyunwoo Lee +3
Dirac's classical theorem asserts that, for , any -vertex graph with minimum degree at least is Hamiltonian. Furthermore, if we additionally assume that such grap…
math.CO2025
On the order of intersecting hypergraphs
Stijn Cambie, Jaehoon Kim, Hyunwoo Lee +2
Determining the maximum number of edges in an intersecting hypergraph on a fixed ground set under additional constraints is one of the central topics in extremal combinatorics. In…