supported by National Natural Science Foundation of China (Grant Nos.10771013, 10901016) and by Prin, Pra and Indam (GNSAGA)
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 ...
Supported by National Natural Science Foundation of China (Grant Nos. 10771013 and 10831002)
A directed triple system of order v with index λ, briefly by DTS(v,λ), is a pair (X, B) where X is a v-set and B is a collection of transitive triples (blocks) on X such that every ordered pair of X belongs to...
supported by National Natural Science Foundation of China (Grant Nos. 10771013, 10831002)
A t-hyperwheel(t≥3) of length l(or W l(t) for brevity) is a t-uniform hypergraph(V,E) ,where E = {e1,e2,. . .,el} and v1,v2,. . .,vl are distinct vertices of V = il=1 ei such that for i = 1,. . .,l,vi,vi+1 ∈ ei and ...