See BP1284 for an animated Problem about the same game.

Players can only move their piece to a node connected to their current position. A win is secured by moving to a node your opponent is occupying.

Which player that can force a win in left-sorted examples can change depending on who moves first.

Players can only move their piece to a node connected to their current position. A win is secured by moving to the node your opponent is occupying.

Which player that can force a win in left-sorted examples can change depending on who moves first.

If two players take turns moving moving the black circles with the intention of capturing their opponent's piece, one can always "checkmate" the other vs. the game results in a draw if the players play optimally.

Players can only move their piece to a node connected to their current position. A win is secured by moving to the node your opponent is occupying.

Leo Crabbe