Counting outerplanar maps (Q528975)

From MaRDI portal





scientific article; zbMATH DE number 6719973
Language Label Description Also known as
English
Counting outerplanar maps
scientific article; zbMATH DE number 6719973

    Statements

    Counting outerplanar maps (English)
    0 references
    0 references
    0 references
    18 May 2017
    0 references
    Summary: A map is outerplanar if all its vertices lie in the outer face. We enumerate various classes of rooted outerplanar maps with respect to the number of edges and vertices. The proofs involve several bijections with lattice paths. As a consequence of our results, we obtain an efficient scheme for encoding simple outerplanar maps.
    0 references
    map enumeration
    0 references
    outerplanar map
    0 references
    Dyck path
    0 references

    Identifiers