Explicit enumeration of triangulations with multiple boundaries

Details Explicit enumeration of triangulations with multiple boundaries Explicit enumeration of triangulations with multiple boundaries

2007-06-05

arxiv.org/abs/0706.0681v2

The Electronic Journal of Combinatorics 14, 1 (2007) R61

Mathematics

Combinatorics

Scientific paper

We enumerate rooted triangulations of a sphere with multiple holes by the
total number of edges and the length of each boundary component. The proof
relies on a combinatorial identity due to W.T. Tutte.

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