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it is well known that Huffman code with minimum variance is preferable. I've digged through entire Polish/English internet and this is what I found: to build Huffman code with minimum variance you need to break ties with one of the following methods (of course probability of node is the most important):

  • Select node that represents shortest tree
  • Select node that was created earliest (consider leafs as created at start).

the problem is, that I couldn't find any proof of correctness of any of these methods. Can someone proof any of these?

I will gladly clarify anything.

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Does proof-by-experience count as a proof? – Jan Dvorak Feb 3 '13 at 22:36
Nope. I need a legit proof. – Piotr Jaszkowski Feb 4 '13 at 0:46

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