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On enumeration of tree-rooted planar cubic maps

Published 8 Aug 2016 in math.CO | (1608.02510v1)

Abstract: We consider planar cubic maps, i.e. connected cubic graphs imbedded into plane, with marked spanning tree and marked directed edge (not in this tree). The number of such objects with $2n$ vertices is $C_{2n}\cdot C_{n+1}$, where $C_k$ is $k$-th Catalan number.

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Authors (1)

  1. Yury Kochetkov 

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