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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
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…