I really don't understand the idea that take home is somehow more fair or accurate than whiteboards. I've judged and taken both whiteboards and take homes. Take homes are more annoying for the candidate, and in my experience much more subjective from the interviewer. In my experience take home is the absolute worst way to pick a candidate.
When I do a take home I have access to google, StackOverflow, etc. I can spend 15minutes on it, then pause to do something else (while I still sort of think about the problem), get back to it for 30 to 60 minutes, rinse and repeat. Which is exactly how I work in real life.
Take homes can actually be compiled and executed against a test suite for correctness.
Take homes tend to be more realistic exercises than balancing a f-ing tree or walking some idiotic graphs.
When I interview (and yes, there's whiteboard time), I tell the candidate up front and very clearly, "I will be your Google. I know we don't work in a vacuum"
