At every round of the algorithm, all nodes with 0 in-degree (i.e. they are not depending on anyone) are collected as a dependence-free subset.

They serve as the root set to the rest of the graph for the current round. The depending nodes reached from root set have their in-degree decremented. When their in-degrees reach 0, they are added to the next root set.

I'm using double-buffering to maintain the current root set for processing and to collect the next root set for the next round, instead of using a queue as in Kahn's algorithm. At the end of the round, I simply swap the double-buffers. It's very efficient. When the next root set is empty, all nodes have been processed.