关于矩形和斜带模型的反强迫数和反凯库勒数

On the Anti-Forcing Number and the Anti-Kekul Number of Rectangular and Skew Strip Models

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R[k,l]和斜带模型Z[k,l]的反凯库勒数是2,R[k,l]的反强迫数是l,Z[k,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.

The anti-forcing number and anti-Kekule 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-Kekule numbers of rectangular model R[k, l] and skew strip model Z[k, l] with k rows and l columns are 2, the anti-forcing number of R[k, l] is l and the anti-forcing number of Z[k, l] is not more than [2/1＋1] where [x] is the greatest integer no [2/1＋1] more than x.