Spectrum of resolvable directed quadruple systems |
| |
Authors: | Jian Wang Beiliang Du |
| |
Institution: | 1. Nantong Vocational College, Nantong 226007, China; 2. Department of Mathematics, Suzhou University, Suzhou 215006, China |
| |
Abstract: | A t-(v, k, 1) directed design (or simply a t-(v, k, 1)DD) is a pair (S, ℐ), where S is a v-set and ℐ is a collection of k-tuples (called blocks) of S, such that every t-tuple of S belongs to a unique block. The t-(v, k, 1)DD is called resolvable if ℐ can be partitioned into some parallel classes, so that each parallel class is a partition
of S. It is proved that a resolvable 3-(v, 4, 1)DD exists if and only if v = 0 (mod 4). |
| |
Keywords: | n-tuple directed design resolvable directed quadruple system |
本文献已被 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 |
|