3 problems

Nonexistence conjecture. There is no such independence relation defined over models of $T$.

Let $B$ be a bipartite $k$-hypertournament, where $k\ge 2$. A vertex is a transmitter if it has no incoming arc with any vertex from a different partite set, and a 4-king is a vert…

Let $H$ be a multipartite $k$-hypertournament, where $k\ge 2$. A vertex is a transmitter if it has no incoming arc with any vertex from a different partite set, and a 4-king is a v…