简单相连多边形对应的图构形的特征多项式

The characteristic polynomials of the graphical arrangements corresponding to the simply-connected polygons

图构形是构形领域研究的与图相关的一类超平面构形。给出了多边形简单相连和点相连的定义,研究简单相连多边形对应的图构形的特征多项式,并给出其具体表达式。通过具体例子说明多边形连接方式和连接顺序的不同对图构形中超平面相交关系的影响。

The graphical arrangements are the arrangements relative to graphs. The definitions of simply-connected and point-connected of the polygons were given,the characteristic polynomials of the graphical arrangements corresponding to the simply-connected polygons were studied,and the specific forms of the characteristic polynomials were obtained.By using the concrete example,the effect on the intersection relationships of the hyperplanes in an arrangement by the different connection methods or the different sequential manners of the polygons was pointed out.