Let H and J_1 be both t-uniform hypergraphs. Let J_2 be a sub-hypergraph of J_1. In this paper, the metamorphosis of a hypergraph decomposition is introduced, denoted by (H, J_1 > J_2)-design, which is a generalization of the concept of metamorphosis of a graph decomposition. Let Meta(J_1 > J_2) denote the set of all integers v such that there exists a (K_v(^3), J_1 > J_2)-design. We completely determine the set Meta(K_4(^3) > K_4(^3) - e).
The existence spectrum of Meta(K-4((3)) > K-4((3)) - e
LO FARO, Giovanni;TRIPODI, Antoinette
2010-01-01
Abstract
Let H and J_1 be both t-uniform hypergraphs. Let J_2 be a sub-hypergraph of J_1. In this paper, the metamorphosis of a hypergraph decomposition is introduced, denoted by (H, J_1 > J_2)-design, which is a generalization of the concept of metamorphosis of a graph decomposition. Let Meta(J_1 > J_2) denote the set of all integers v such that there exists a (K_v(^3), J_1 > J_2)-design. We completely determine the set Meta(K_4(^3) > K_4(^3) - e).File in questo prodotto:
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