journal6 ›› 2012, Vol. 33 ›› Issue (5): 1-8.DOI: 10.3969/j.issn.1007-2985.2012.05.001

• 数学 •    下一篇

曲面型介子泛函方程

  

  1. (北京交通大学数学研究所,北京100044)
  • 出版日期:2012-09-25 发布日期:2012-11-30

Meson Equation of Surface Type

  1. (Institute of Mathematics,Beijing Jiaotong University,Beijing 100044,China)
  • Online:2012-09-25 Published:2012-11-30
  • About author:LIU Yan-pei(1939-),male,was born in Tianjin City,professor;research areas are graphs,networks and combinatorial optimization.

摘要:提出一个介子泛函方程.它是在以根点次和非根顶点剖分向量为参数,数所有可定向曲面上的地图时萃取出来的.在一个整域扩张中,证明了它的解存在且唯一.进而,通过图的对称性,给出这个解的一个紧凑显式.

关键词: 介子泛函, 方程, 地图, 曲面, 嵌入, 对称性

Abstract: This paper provides a meson functional equation which is extracted from counting maps(rooted) on all orientable surfaces with vertex partition vector given.The well-definedness of its solution is shown on an extension of the integral domain.Then the solution is explicitly expressed in a compact form via considering graph symmetry.

Key words: Meson functional, equation, map, surface, embedding, graph symmetry

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