Hello, Keith!

Suppose four teams, the Aces, the Birds, the Cats, and the Dogs, play each other once.

The Aces beat all three opponents except the Birds.

The Birds lost to all opponents except the Aces.

The Dogs beat the Cats.

Represent the results of these games with a directed graph.

I got this graph ... using *your* arrangement of letters. Code:

A * → → → → → → → * C
↑ \ / ↑
↑ → ← ↑
↑ \ / ↑
↑ X ↑
↑ / \ ↑
↑ ← → ↑
| / \ |
B * ← ← ← ← ← ← ← * D

Sorry, I'm not familiar with "dominance order".

Coulld you define it?