Characterization of certain incomplete block designs |
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| Authors: | Sanpei Kageyama Takumi Tsuji |
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| Affiliation: | Hiroshima University, Hiroshima, Japan |
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| Abstract: | It is shown that certain inequalities known for partially balanced incomplete block (PBIB) designs remain valid for general incomplete block designs. Some conditions for attaining their bounds are also given. Furthermore, the various types of PBIB designs are characterized by relating blocks of designs with association schemes. The approach here is based on the spectral expansion of NN' for the incidence matrix N of an incomplete block design. |
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| Keywords: | 62K10 05B10 05B20 62K99 Incomplete block design connected μ-resolvable affine μ-resolvable spectral expansion group divisible triangular rectangular cubic association scheme |
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