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Prove that a balanced, uniform incomplete design is regular.

For this question, I have no clue where to start, any suggestions?

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    Start with the definitions. What's a balanced incomplete block design? What does "uniform" mean? What does "regular" mean?2012-04-18
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    it's regular if each vertex exactly occurs in r blocks, and it's uniform if each block contains k-vertices. so which means if each block contains k-vertices then it is regular?2012-04-18
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    I cannot parse this question. For me a block design or, better $(v,b,r,k, \lambda)$ design comes with regularness. So, I would like to see your definitions for the terms here. Please consider adding the definitions.2012-04-18
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    By definition, if in a k-uniform, regular incomplete design, each pair of vertices occurs together in exactly λ blocks then we say that (S,B) is Balanced incomplete Block with parameter (v,b,r,k,λ).2012-04-18
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    I think what Kannappan is asking is, what would a non-regular BIBD look like? Doesn't your definition of BIBD already imply regularity?2012-04-18

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