TY - JOUR T1 - The Supersolvable Order of Hyperplanes of an Arrangement AU - Gao , Ruimei AU - Pei , Donghe JO - Communications in Mathematical Research VL - 3 SP - 231 EP - 238 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19006.html KW - quadratic arrangement, graphic arrangement, supersolvable order of hyperplane, quadratic order of hyperplane, supersolvable order of vertices. AB -

This paper mainly gives a sufficient and necessary condition for an order of hyperplanes of a graphic arrangement being supersolvable. In addition, we give the relations between the set of supersolvable orders of hyperplanes and the set of quadratic orders of hyperplanes for a supersolvable arrangement.