一些六角系统的完全强迫数 Alternative Title complete forcing number of some hexagonal systems 肖继孟 Thesis Advisor 徐守军 2014-05-22 Degree Grantor 兰州大学 Place of Conferral 兰州 Degree Name 学士 Keyword 完全强迫数 含内点 六角系统 斜三角形图 Abstract 本文重点讨论了斜三角形图，通过完全强迫集的必要条件构造出斜三角形图 的特殊的边子集，证明了该边子集是完全强迫集，并证明其势是最小的，从而给 出了斜三角形图的完全强迫数。然后考虑了平行四边形图的完全强迫数问题，给 出了上下界估计并给出了可达上下界的例子。最后通过一个简单的例子给出了一 类称为含三角形对的链状图的完美匹配数和完全强迫数。 Other Abstract We focus on a hexagonal system called triangle benzenoid, and find a special edge set which is proved as the smallest complete forcing set with a necessary condition of complete forcing set. So we finally get the complete forcing number by counting edges of the set. Then we give a sharp bond of a hexagonal system called benzenoid parallelogram. As for the non-elementary benzenoid, we get the perfect matching number and complete forcing number of a hexagonal system called double triangles linear benzenoid with a simple example. URL 查看原文 Language 中文 Document Type 学位论文 Identifier https://ir.lzu.edu.cn/handle/262010/224423 Collection 数学与统计学院 Recommended CitationGB/T 7714 肖继孟. 一些六角系统的完全强迫数[D]. 兰州. 兰州大学,2014.
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