ENUMERATING ROOTED EULERIAN PLANAR MAPS |
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| Authors: | Cai Junliang |
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| Institution: | Cai Junliang Department of Mathematics,Beijing Normal University,Beijing 100875,China Hao Rongxia Liu Yanpei Department of Mathematics,Northern Jiaotong University,Beijing 100044,China |
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| Abstract: | This paper provides the number of combinatorially distinct general rooted Eulerian planar maps with the number of edges and the valency of rooted vertex of the maps as two parameters. It is also an answer to open problem 7.1 in 1]. Meanwhile, the case of three variables can be derived by using Lagrangian inversion. |
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| Keywords: | Eulerian map functional equation Lagrangian inversion |
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