二部克莱因瓶六角系统K(p,q,t)的强迫数Ⅱ.p>2q

The Forcing Number of Bipartite Klein Bottle Polyhexs Ⅱ. p≥2q

二部克莱因瓶六角系统K(p,q,t)是嵌入到不可定向曲面克莱因瓶上的每个面的边界都是6长圈的二部图,匹配强迫数是有完美匹配图的一个重要拓扑不变量.通过考察克莱因瓶上不可收缩圈的新技术,给出了二部克莱因瓶六角系统K(p,q,t)(p>2q)的最小匹配强迫数的界.

A hexagonal tessellation K（p, q, t） on Klein bottle, a non-orientable surface, is a finite-sized elemental benzenoid which can be produced from a p × q-parallelogram of hexagonal lattice with usual identifications of sides and with torsion t. The matching forcing number is a important topological index. In the present work, we obtain the upper bound of the forcing number of K（p, q, t） with p 〉 2q by a new technique.