I am studying R. Diestel's Book Graph Theory and I encountered a formulation which I don't quiet understand. Mr. Diestel speaks in this proof on page 180 (Google Books Link) in the second last line of a unique minimal partition.
I know what a partition is. And if he speaks of a unique partition I understand, that there is no other partition like this one. But what does the word minimal mean in this context? Is it, that there is no more refined partition?
Thanks for any enlightenment!