Inequality for equireplicated n-ary block designs with unequal block sizes |
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Authors: | Sanpei Kageyama Takumi Tsuji |
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Institution: | Hiroshima University, Hiroshima, Japan |
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Abstract: | It is shown that certain inequalities known for binary, equireplicated, equiblock-sized block designs remain valid for equireplicated n-ary block designs with unequal block sizes. The approach used here is based on the spectral expansion of the C-matrix of the block design. The main theorems include some useful and combinatorially interesting results. |
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Keywords: | Spectral Expansion μ-resolvable Affine μ-resolvable Binary BB Design PBB Design BIB Design |
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