an:06770069
Zbl 1424.05153
Long, Shude
Counting rooted nonseparable unicursal planar maps
EN
Ars Comb. 131, 169-181 (2017).
00362378
2017
j
05C30 05C45 05C10
nonseparable unicursal map; enumerating function; functional equation
Summary: A map is unicursal if all its vertices are even-valent except two odd-valent vertices. This paper investigates the enumeration of rooted nonseparable unicursal planar maps and provides two functional equations satisfied by its generating functions with the number of nonrooted vertices, the number of inner faces (or the number of edges) and the valencies of the two odd vertices of maps as parameters.
Reviewer (Berlin)