The existence spectrum of Meta(K_4^((3))>K_4^((3))-e)  

作　　者：LO FARO Giovanni TRIPODI Antoinette 

机构地区：[1]Department of Mathematics,University of Messina

出　　处：《Science China Mathematics》2010年第11期2865-2876,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10771013, 10901016) and by Prin, Pra and Indam (GNSAGA)

摘　　要：Let H and J1 be both t-uniform hypergraphs. Let J2 be a sub-hypergraph of J1. In this paper, the metamorphosis of a hypergraph decomposition is introduced, denoted by (H, J1 】 J2)-design, which is a generalization of the concept of metamorphosis of a graph decomposition. Let Meta(J1】J2) denote the set of all integers v such that there exists a (Kv((3)), J1】J2)-design. We completely determine the set Meta(K4((3))】K4((3))-e).Let H and J1 be both t-uniform hypergraphs. Let J2 be a sub-hypergraph of J1. In this paper, the metamorphosis of a hypergraph decomposition is introduced, denoted by (H, J1 > J2)-design, which is a generalization of the concept of metamorphosis of a graph decomposition. Let Meta(J1>J2) denote the set of all integers v such that there exists a (Kv((3)), J1>J2)-design. We completely determine the set Meta(K4((3))>K4((3))-e).

关 键 词：HYPERGRAPH decomposition METAMORPHOSIS t-GDD group divisible (Γ t)-design candelabra (Γ t)-system 

分 类 号：O157.5[理学—数学]