Journal of applied mathematics & informatics
- Volume 18 Issue 1_2
- /
- Pages.329-337
- /
- 2005
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
THE ENUMERATION OF ROOTED CUBIC C-NETS
- CAI JUNLIANG (Department of Mathematics, Beijing Normal University) ;
- HAO RONGXIA (Department of Mathematics, Beijing Normal University) ;
- LID YANPEI (Department of Mathematics, Beijing Normal University)
- Published : 2005.03.01
Abstract
This paper is to establish a functional equation satisfied by the generating function for counting rooted cubic c-nets and then to determine the parametric expressions of the equation directly. Meanwhile, the explicit formulae for counting rooted cubic c-nets are derived immediately by employing Lagrangian inversion with one or two parameters. Both of them are summation-free and in which one is just an answer to the open problem (8.6.5) in [1].