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The Supersolvable Order of Hyperplanes of an Arrangement 被引量：4

The Supersolvable Order of Hyperplanes of an Arrangement
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摘要 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. 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.
作者 Gao Rui-mei Pei Dong-he Du Xian-kun
机构地区 College of Science School of Mathematics and Statistics
出处 《Communications in Mathematical Research》 CSCD 2013年第3期231-238,共8页 数学研究通讯（英文版）
基金 The NSF (10871035) of China
关键词 quadratic arrangement graphic arrangement supersolvable order of hyperplane quadratic order of hyperplane supersolvable order of vertices quadratic arrangement, graphic arrangement, supersolvable order of hyperplane, quadratic order of hyperplane, supersolvable order of vertices
分类号 O157.5 [理学—基础数学]
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参考文献11

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同被引文献41

  • 1SU Dan,ZHANG Dunmu.The Characteristic Polynomial of the Mixed Arrangement[J].Wuhan University Journal of Natural Sciences,2007,12(2):203-206. 被引量：2
  • 2ORLIK P, TERAO H. Arrangements of hyperplanes [ M ]//Grundlehren der Mathematischen Wissenschaften. Berlin: Spring- er-Verlag, 1992, 300 : 1-325.
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  • 4JIANG Guangfeng, YU Jianming. Supersolvability of complementary signed-graphic hyperplane arrangements [ J ]. The Aus- tralasian Journal of Combinatorics, 2004, 30:261-274.
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  • 6ABE T, TERAO H, WAKEFIELD M. The characteristic polynomial of a multiarrangement [J ]. Advances in Mathematics, 2007, 215:825-838.
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  • 10JIANG T, YAU S S T, YEH L Y. Geometric characterization of supersolvable arrangements [J ]. The Rocky Mountain Jour- nal of Mathematics, 2001, 31:303-312.

引证文献4

二级引证文献6

Communications in Mathematical Research
2013年 第3期

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