Counting Outerplanar Maps

[摘要] 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 res

[学科分类] 离散数学和组合数学

[关键词] Map enumeration;Outerplanar map;Dyck path