An explicit bijection maps rooted bicubic planar maps on 2n vertices to colored Dyck paths of semilength 3n, proving Tutte's decomposition into 3-connected components via Bell transformations.
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Rooted bicubic planar maps via Dyck paths
An explicit bijection maps rooted bicubic planar maps on 2n vertices to colored Dyck paths of semilength 3n, proving Tutte's decomposition into 3-connected components via Bell transformations.