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math.CO2024
Transversal cycles and paths in tournaments
Debsoumya Chakraborti, Jaehoon Kim, Hyunwoo Lee +1
Thomason [ 296.1 (1986)] proved that every sufficiently large tournament contains Hamilton paths and cycles with all possible orientations, except…
math.CO2024
On the -problem of Brown, Erdős and Sós for
Stefan Glock, Jaehoon Kim, Lyuben Lichev +2
Let denote the maximum number of edges in an -vertex -uniform hypergraph containing no subgraph with edges and at most vertices. Brown, Erdős and Sós…
math.CO2024
Dense triangle-free -graphs for all orders
Jaehoon Kim, Hyunwoo Lee
In 1994, Alon construct a triangle-free -graph with and for an exponentially increasing sequence of integers . Using his ingenious cons…