Geodesic
Explicit enumeration of triangulations with multiple boundaries
The electronic journal of combinatorics, Tome 14 (2007)
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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.
DOI : 10.37236/979
Classification : 05C30, 05A19 
@article{10_37236_979,
     author = {Maxim Krikun},
     title = {Explicit enumeration of triangulations with multiple boundaries},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/979},
     zbl = {1157.05031},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/979/}
}
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%J The electronic journal of combinatorics
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Maxim Krikun. Explicit enumeration of triangulations with multiple boundaries. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/979

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