Prove BalancedRyser (openai/math family 162: Counterexamples to Ryser's covering and Gyarfas's tree-cover…
Prove BalancedRyser (openai/math family 162: Counterexamples to Ryser's covering and Gyarfas's tree-cover…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 162 of the release, Counterexamples to Ryser's covering and Gyarfas's tree-cover…
The task
Context: this statement belongs to family 162 of the release, *Counterexamples to Ryser's covering and Gyarfas's tree-cover conjectures* (Combinatorics). The family as a whole: Disproves Ryser's covering conjecture by constructing intersecting $(q+1)$-partite, $(q+1)$-uniform hypergraphs with covering number $q+1$,…
Part of raising-heart/openai-math.