# Why we can't create a binomial heap in max-heap format?

Why we can't create a binomial heap in max-heap format instead of min-heap format?

An easy "black-box" way to see that this is true is considering what happens when all operations involving a key $$k$$ are actually performed on the key $$-k$$ instead.
That is, instead of inserting $$k$$ we insert $$-k$$; instead of deleting $$k$$ we delete $$-k$$; when we need to return the minimum key $$k$$, we return $$-k$$; etc...