SOME RESULTS ON QUADRILATERALS IN STEINER TRIPLE-SYSTEMS

被引：26

作者：

STINSON, DR ^{[1
]}

WEI, YJ ^{[1
]}

机构：

[1] UNIV NEBRASKA,CTR COMMUN & INFORMAT SCI,LINCOLN,NE 68588

来源：

DISCRETE MATHEMATICS | 1992年 / 105卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(92)90143-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study quadrilaterals in Steiner triple systems. We present two recursive constructions for Steiner triple systems having no quadrilaterals. We also consider the maximum number of quadrilaterals a Steiner triple system of any given order can have. The upper hound is reached precisely when the Steiner triple system is the projective space PG(d, 2). Some recursive constructions for Steiner triple systems having 'many' quadrilaterals are also presented.

引用

页码：207 / 219

页数：13