Is there a quick way to tell if a set of six-sided dice cannot be non-transitive? I've writing an algo and brute force is taking too long to find out. I had a look at http://math.ku.edu/~jschweig/dice.pdf but it has a precondition that numbers on a die's face shouldn't repeat on other faces of that die or any other die. I want to allow the numbers on a die's face to repeat. It also restricts the number of dice to three and I want to calculate for larger number of dice as well. Any help will be greatly appreciated!