Asymptotic existence theorems for frames and group divisible designs |
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| Authors: | Jiuqiang Liu |
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| Institution: | a Center for Combinatorics, Nankai University, Tianjin, PR China
b Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA |
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| Abstract: | In this paper, we establish an asymptotic existence theorem for group divisible designs of type mn with block sizes in any given set K of integers greater than 1. As consequences, we will prove an asymptotic existence theorem for frames and derive a partial asymptotic existence theorem for resolvable group divisible designs. |
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| Keywords: | Block designs Frames Group divisible designs |
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