an:06827827
Zbl 1378.05091
Long, Shu-De; Cai, Jun-Liang
Counting rooted 4-regular unicursal planar maps
EN
Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 909-918 (2017).
00372006
2017
j
05C30 05C10 05C45
unicursal planar map; enumerating function; functional equation; Lagrangian inversion
Summary: A map is 4-regular unicursal if all its vertices are 4-valent except two odd-valent vertices. This paper investigates the number of rooted 4-regular unicursal planar maps and presents some formulae for such maps with four parameters: the number of edges, the number of inner faces and the valencies of the two odd vertices.