If H (3) is an hypergraph uniform of rank 3, an H (3) -decomposition of (3) the complete hypergraph K v is a collection of hypergraphs H (3) , whose (3) (3) edge-sets partition the edge-set of K v . An H (3) -decomposition of K 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 (3) blocks containing any given vertex of Kv 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.

Construction of non-cyclic balanced P(3)(1,5)-designs

BONACINI, PAOLA;GIONFRIDDO, Mario;MARINO, LUCIA MARIA
2015

Abstract

If H (3) is an hypergraph uniform of rank 3, an H (3) -decomposition of (3) the complete hypergraph K v is a collection of hypergraphs H (3) , whose (3) (3) edge-sets partition the edge-set of K v . An H (3) -decomposition of K 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 (3) blocks containing any given vertex of Kv 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.
Hypergraphs, Balanced, non-Cyclic, Designs
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/18522
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