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Counting rooted near-4-regular Eulerian maps on some surfaces
Authors:Han Ren  Yanpei Liu
Institution:(1) Dept. of Math., Xiamen Univ., 361005 Xiamen;(2) Dept. of Math., Northern Jiaotong Univ., 100044 Beijing
Abstract:In this article the rooted planar near-4-regular Eulerian trails are enum erated and an explicit form ula for such m aps is presented. Further, the rooted near-4-regular Eulerian m aps on the torus are counted in an exact w ay.
Keywords:Map  enufunction  Euler trail  Lagrangian inversion near-4-regular Eulerian m ap(trail)  
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