On the connectedness of partially balanced block designs |
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| Authors: | Henryk Brzeskwiniewicz |
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| Institution: | (1) Akademia Rolnicza w Poznaniu, Zaklad Metod Matematycznych i Statystycznych, ul. Wojska Polskiego 28, 60-637 Pozna 31, Poland |
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| Abstract: | The necessary and sufficient conditions for m-associate partially balanced block (PBB) designs to be connected are given. This generalizes the criterion for m-associate partially balanced incomplete block (PBIB) designs, which has originally been established by Ogawa, Ikeda and Kageyama (1984, Proceedings of the Seminar on  Combinatorics and Applications , 248–255, Statistical Publishing Society, Calcutta).This work was partially supported by the Polish Academy of Sciences Grant No. MR I.1-2/2. |
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| Keywords: | Block design connectedness PBIB design PBB design |
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