用超椭圆构造强正则图; Constructing new strongly regular graphs with hyperovals | |
曹喜望 ; 胡沐辉 | |
2003 | |
关键词 | 区组设计 超椭圆 强正则图 block design hyperoval strongly-regular graph |
英文摘要 | 在本文中,我们证明了下面主要结果:如果U=(X, B)是一个t-(v+t, k+t, 1)设计(t≥1),Y=(v1, v2, …,vt)∈X, 用UY表示U在Y上的限制,如果D=UY是一个2-对称设计,并且D中的超椭圆的个数至多为tv(v-1)(v-k)/[k(k2-1)],则这些超椭圆可以分为t类,每一类构成一个2-设计,它们的块图都是强正则图,并且它们的并也是一个2-设计.作为一个推论,我们给出了一个2-设计可以扩张的判据,最后我们给出一个例子说明我们的方法有效.; In this paper, we have proved the following main results.. If UY=(X, B) is a (t+2)-(v+t, k+t, 1) design (t≥1), Y={v1, v2, …vt}X. By UY we denote the restriction of U on Y. If D=UY is a square 2-(v, k, 1) design and the number of hyperovals in D is at most tv(v-1)(v-k)/k(k2-1),then these hyperovals can be divided into t classes, each of them contributes a 2-design and block graphs of them are strongly regular. Furthermore, the union of these designs is also a 2-design. As a corollary, we give a criterion of which design is extendable. Finally, we give an example illustrating that our method works effectively.; 黄冈师范学院校科研和教改项目; 0; 3; 12-14; 23 |
语种 | 中文 |
出处 | 知网 ; 万方 ; http://d.g.wanfangdata.com.cn/Periodical_hgsfxyxb200303004.aspx |
出版者 | 黄冈师范学院学报 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/12946] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | 曹喜望,胡沐辉. 用超椭圆构造强正则图, Constructing new strongly regular graphs with hyperovals. 2003-01-01. |
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