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

• Mathematics •     Next Articles

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.

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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