A Census of Petal Bundles by Genus  

作　　者：Yan XU Yan Pei LIU 

机构地区：[1]School of Science, Tianjin Polytechnic University, Tianjin 300160, P. R. China [2]Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第6期937-946,共10页数学学报（英文版）

基　　金：NNSFC under Grant No.60373030 and Grant No.10571031

摘　　要：This paper provides the uniform enumerative functional equation of orientable （nonori-entable） rooted petal bundles with more parameters, and deduces two recursion formulas for calculation. Accordingly, an explicit expression of rooted petal bundles with up to two parameters on nonorientable surface of genus 4 is also obtained.This paper provides the uniform enumerative functional equation of orientable （nonori-entable） rooted petal bundles with more parameters, and deduces two recursion formulas for calculation. Accordingly, an explicit expression of rooted petal bundles with up to two parameters on nonorientable surface of genus 4 is also obtained.

关 键 词：rooted map enumerating function ENUMERATION petal bundles 

分 类 号：O152[理学—数学]