The Enumeration of General Rooted Planar Maps

Authors
Cai, Jun Liang Liu, Yan Pei
Citation
Cai, Jun Liang et Liu, Yan Pei, The Enumeration of General Rooted Planar Maps, Acta mathematica Sinica. English series (Print) , 21(1), 2004, pp. 215-224
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
1
Year of publication
2004
Pages
215 - 224
Database
ACNP
SICI code
Abstract
This paper provides some functional equations satisfied by the generating functions for enumerating general rooted planar maps with up to three parameters. Furthermore, the generating functions can be obtained explicitly by employing the Lagrangian inversion. This is also an answer to an open problem in 1989.