The number of rooted Eulerian planar maps |
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Authors: | JunLiang Cai YanPei Liu |
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Institution: | (1) School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing, 100875, China;(2) Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China |
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Abstract: | In this paper we provide a solution of the functional equation unsolved in the paper, by the second author, “On functional
equations arising from map enumerations” that appeared in Discrete Math, 123: 93–109 (1993). It is also the number of combinatorial distinct rooted general eulerian planar maps with the valency of root-vertex,
the number of non-root vertices and non-root faces of the maps as three parameters. In particular, a result in the paper,
by the same author, “On the number of eulerian planar maps” that appeared in Acta Math Sinica, 12: 418–423 (1992) is simplified.
This work was supported by the National Natural Science Foundation of China (Grant No. 10271017) |
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Keywords: | Eulerian map functional equation Lagrangian inversion |
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