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| 关于矩形和斜带模型的反强迫数和反凯库勒数 | |
| 引用本文： | 汤四平,唐芬芳,曹显兵.关于矩形和斜带模型的反强迫数和反凯库勒数[J].数学的实践与认识,2012,42(5):151-154. |
| 作者姓名： | 汤四平 唐芬芳 曹显兵 |
| 作者单位： | 1. 湖南科技大学数学与计算科学学院,湖南湘潭,411201 2. 湖南师范大学数学与计算机科学学院,湖南长沙,410081 3. 北京工商大学理学院,北京,100048 |
| 基金项目： | 湖南省科技厅科技计划项目，北京市属高等学校人才强教计划 |
| 摘 要： | 在苯类化合物的凯库勒结构的研究中引入了反强迫数和反凯库勒数.通过分析矩形和斜带模型苯类化合物的分子图的结构,证明了具有k行l列的矩形Rk,l]和斜带模型Zk,l]的反凯库勒数是2,Rk,l]的反强迫数是l,Zk,l]的反强迫数不超过(l+1)/2],其中x]表示不超过x的最大整数. |
| 关 键 词： | 反强迫数 反凯库勒数 凯库勒结构 矩形模型 斜带模型 |
On the Anti-Forcing Number and the Anti-Kekul(E)Number of Rectangular and Skew Strip Models |
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| TANG Si-ping , TANG Fen-fang , CAO Xian-bing.On the Anti-Forcing Number and the Anti-Kekul(E)Number of Rectangular and Skew Strip Models[J].Mathematics in Practice and Theory,2012,42(5):151-154. | |
| Authors: | TANG Si-ping TANG Fen-fang CAO Xian-bing |
| Institution: | 1.School of Mathematics and Computing Science,Hunan University of Science and Technology,Xiangtan 411201,China) (2.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China) (3.School of Science,Beijing Technology and Business University,Beijing 100048,China) |
| Abstract: | The anti-forcing number and anti-Kekul number are introduced for studying Kekule structures in a benzenoid.The calculation of these invariants is demonstrated on rectangular models and skew strip models in this paper by analyzing the structures of their graphs,and it is shown that the anti-Kekul numbers of rectangular model Rk,l]and skew strip model Zk,l]with k rows and l columns are 2,the anti-forcing number of Rk,l]is l and the anti-forcing number of Zk,l]is not more than(l+1)/2],wherex]is the greatest integer no more than x. |
| Keywords: | anti-forcing number anti-Kekul number Kekul structure rectangular model skew strip model |
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