The following section provides information concerning the Cyclotomic Graph family.

Definition:

The cyclotomic graph of order q with q a prime power is a graph on q nodes with two nodes adjacent if their difference is a cube in the finite field GF(q).

Consider removing a vertex option from the column player, how will that then affect the game value?

The color green represents a decrease in the game value if the vertex is chosen, red represents an increase in the game value if the vertex is chosen, and blue represents no change in the game value.