破轮图所决定构形为二次构形的证明

A proof that broken-wheel graphic arrangements are quadratic

讨论了由破轮图所决定的图构形在哪些序下为二次构形。通过编写计算机程序得出有限个顶点的图构形为二次构形时序的情况,再找出这些序所反映的规律,最后再对这些规律进行逻辑论证并推广至顶点个数为n的情况。证明了由破轮图所决定的图构形为二次构形的一个充要条件。

The orders for which the graphic arrangements determined by broken-wheel graphs are quadratic have been analyzed. With the aid of a computer, the orders for which the graphic arrangements with finite points are quadratic were found. Between these orders, there is regularity that can be extended to a graphic arrangement with n points. A sufficient and necessary condition for the broken-wheel graphic arrangements to be quadratic has been obtained.