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Self-Converse Directed BIBDs with Block Size Four

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Abstract.

A directed balanced incomplete block design (or D B(k,λ;v)) (X,ℬ) is called self-converse if there is an isomorphic mapping f from (X,ℬ) to (X,ℬ−1), where ℬ−1={B −1:B∈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).

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Authors and Affiliations

  1. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P.R. China

    Xin Wang & Yanxun Chang

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  1. Xin Wang
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  2. Yanxun Chang
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Correspondence to Yanxun Chang.

Additional information

AMS Classification: 05B

Research supported in part by NSFC Grant 10071002 and SRFDP under No. 20010004001

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Wang, X., Chang, Y. Self-Converse Directed BIBDs with Block Size Four. Graphs and Combinatorics 19, 567–575 (2003). https://doi.org/10.1007/s00373-003-0535-y

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  • DOI: https://doi.org/10.1007/s00373-003-0535-y

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