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- W2518733903 abstract "If H (3) is an hypergraph uniform of rank 3, an H (3) -decomposition of the complete hypergraph K (3) v is a collection of hypergraphs H (3) , whose edge-sets partition the edge-set of K (3) v . An H (3) -decomposition of K (3) v is also called an H (3) -design and the hypergraphs of the partition are said the blocks. An H (3) -design is said to be balanced if the number of blocks containing any given vertex of K (3) v is constant. In this paper, we give some double constructions to obtain non-cyclic balanced P (3) (1;5)designs of order v, starting from balanced P (3) (1;5)-designs of order v=2. Mathematics Subject Classication: 05B05" @default.
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- W2518733903 date "2015-01-01" @default.
- W2518733903 modified "2023-09-27" @default.
- W2518733903 title "Construction of non-cyclic balanced P^{(3)}(1,5)-designs" @default.
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- W2518733903 doi "https://doi.org/10.12988/ams.2015.55397" @default.
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