Enumeration of Eulerian Maps on the Torus
Received:July 13, 1998  
Key Words: map   Eulerian map（trail）   enufunction   Lagrangian.  
Fund Project:Project supported by the Shanghai City Foundation of Selected Academic Research.
Author NameAffiliation
REN Han Dept. of Math.
East China Normal University
Shanghai
China 
LIU Yan-pei Dept. of Math.
Northern Jiaotong University
Beijing
China 
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Abstract:
      In this article we count the number of rooted planar Eulerian trails and present an explicit enufunction for such maps. Based on this result, we count rooted Eulerian maps on the torus in an exact way.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.01.006
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