Solving Functional Equations Dear to W.T. Tutte using the Naive (yet fullly rigorous!) Guess And Check Method
In his seminal paper ``A census of planar triangulations", published in 1962, the iconic graph theorist (and code-breaker), W.T. Tutte, spent a few pages to prove that a certain bi-variate generating function that enumerates triangulations, satisfies a certain functional equation. He then used...
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