JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 72-77.doi: 10.6040/j.issn.1671-9352.0.2015.569

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

  

  1. College of Science, Changchun University of Science and Technology, Changchun 130022, Jilin, China
  • Received:2015-11-27 Online:2016-10-20 Published:2016-10-17

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Abstract: 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.

Key words: hyperplane arrangement, characteristic polynomial, L-equivalent, π-equivalent, graphical arrangement

CLC Number: 

  • O189
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