Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

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)
  • 발행 : 2005.03.01

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초록

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].

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