|
|||||
|
|
Self-Converse Directed BIBDs with Block Size Four |
|
| Authors: | Xin?Wang |
| Institution: | (1) Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P.R. China |
| Abstract: | A directed balanced incomplete block design (or D
B(k, ;v)) (X, ) is called self-converse if there is an isomorphic mapping f from (X,) to (X,–1), where –1={B
–1:B } and B
–1=(x
k
,x
k
–1, ,x
2,x
1) for B=(x
1,x
2,,x
k
–1,x
k
). In this paper, we give the existence spectrum for self-converse D
B(4,1;v).
AMS Classification: 05BResearch supported in part by NSFC Grant 10071002 and SRFDP under No. 20010004001 |
| Keywords: | Self-converse Self-converse directed balanced incomplete block design Group divisible design Pairwise balanced design |
| 本文献已被 SpringerLink 等数据库收录！ | |