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Mar 28, 2013 at 18:38 comment added Philippe Nadeau I'll just point out the work of Bodo Lass in 2000, which is a quite simple combinatorial proof (in French) cited by Goulden-Nica. His approach was extended in 2011 by Olivier Bernardi. A bijective proof can also be found in the work of Chapuy, Féray & Fusy (2012), building on earlier work of Chapuy.
Mar 28, 2013 at 18:20 history answered Lee Mosher CC BY-SA 3.0