The infinite critical tournaments conjecture
A tournament TTT is kkk-clique-critical if ω→(T)=k\operatorname{\overrightarrow{\omega}}(T)=kω(T)=k and ω→(T−v)=k−1\operatorname{\overrightarrow{\omega}}(T-v)=k-1ω(T−v)=k−1 for every v∈V(T)v\in V(T)v∈V(T). The infinite c…