Enumeration of maps on the projective plane |
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| Authors: | Hao Rongxia Cai Junliang Liu Yanpei |
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| Institution: | (1) Department of Mathematics, Northern jiaotong University, 100044 Beijing, China;(2) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(3) Department of Mathematics, Northern jiaotong University, 100044 Beijing, China |
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| Abstract: | The enumerative functional equation of maps by the number of inner faces, the valency of root face and the number of non-rooted vertices on the projective plane is studied. An explicit expression for the generating function by the number of inner faces and the number of non-rooted vertices is obtained. From this result, the enumeration of rooted maps by the number of edges discussed in 1] is obtained as a corollary. |
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| Keywords: | Projective plane map functional equation |
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