欧拉平面近四边形的枚举

2011 International Conference on Consumer Electronics, Communications and Networks (CECNet) Pub Date : 2011-04-16 DOI:10.1109/CECNET.2011.5769093

Zhang Yongli, L. Yanpei, Hao Rong-xia

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引用次数: 0

摘要

如果一个映射的所有顶点的价都是偶数，那么它就被称为欧拉映射。如果一张地图除一个面外其余面都是四边形，则称为近四边形。迄今为止，还没有关于欧拉平面近四边形的研究工作。本文的主要成果是建立了以根面价和无根面数为参数的有根欧拉平面近四边形的无函数满足的泛函方程形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Enumeration of Eulerian planar near-quadrangulations

A map is called Eulerian if all the valencies of its vertices are even. If a map has all but one of its faces quadragles, then it is called a near-quadrangulation. Up until now, there is no research work on Eulerian planar near-quadrangulations. The main result in this paper is to establish a form of functional equation satisfied by enufunction of rooted Eulerian planar near-quadrangulations with the valency of the root-face and the number of non-rooted faces as parameters.

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2011 International Conference on Consumer Electronics, Communications and Networks (CECNet)

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