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Counting rooted 4-regular unicursal planar maps |
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| Authors: | |
| Institution: | 1.Department of Mathematics,Chongqing University of Arts and Sciences,Chongqing,China;2.School of Mathematical Sciences,Beijing Normal University,Beijing,China |
| Abstract: | A map is 4-regular unicursal if all its vertices are 4-valent except two odd-valent vertices. This paper investigates the number of rooted 4-regular unicursal planar maps and presents some formulae for such maps with four parameters: the number of edges, the number of inner faces and the valencies of the two odd vertices. |
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