Establishes necessary conditions for locally semi-equitable ℓ-colorings of (v,k,λ)-BIBDs and derives new necessary conditions for the existence of Hadamard matrices, affine planes, and twin prime powers.
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Locally Semi-Equitable Colourings of BIBDs
Establishes necessary conditions for locally semi-equitable ℓ-colorings of (v,k,λ)-BIBDs and derives new necessary conditions for the existence of Hadamard matrices, affine planes, and twin prime powers.