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.
基金Project supported by the Shanghai City Foundation of Selected Academic Research.
文摘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.
