A Direct Construction of Non-Transitive Dice Sets
  In this paper, we give a direct construction for a set of dice realizing any given tournament $T$. The construction for a tournament with $n$ vertices requires a number of sides on the order of $n$, which appears to be the best general construction to date. Our construction relies only on a standard theorem from graph theory. 
Levi Angel and Matt Davis
math.CO math.PR