Minimax is often illustrated with a tree,but I know that it can be implemented without the tree !However,I can not figure out how to do it without the tree!Can you clarify it for me?
Minimax by definition always works like a tree, no matter how you implement it. How you visualise it is another story.
Usually, Minimax is implemented recursively (which can be best visualised using a tree) or iteratively, which still goes through the nodes of a minimax tree, just with another approach.