一般根地图的普查

刘彦佩. 一般根地图的普查[J]. 信阳师范学院学报(自然科学版), 2004, 17(4): 373-380.

引用本文:

刘彦佩. 一般根地图的普查[J]. 信阳师范学院学报(自然科学版), 2004, 17(4): 373-380.

A census of general rooted maps[J]. Journal of Xinyang Normal University (Natural Science Edition), 2004, 17(4): 373-380.

Citation:

A census of general rooted maps[J]. Journal of Xinyang Normal University (Natural Science Edition), 2004, 17(4): 373-380.

A census of general rooted maps

摘要: 对于给定的棱数 ,提供可定向、不可定向以及全体一般根地图的计数方程 .虽然它们都是 Riccati型的微分方程 ,给出了确定它们解的简单递推公式 .从而 ,相应的计数函数可以被提取

Abstract: Provide the equations satisfied by the enumerating functions of orientable,nonorientable and total general rooted maps.Although they are all in Riccati type,their solutions are determined by recursions and then the enumerating functions of them with the size as the parameter can be simply evaluated.

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