Let H be a subgraph of G. An H-design (X, C) of order v − w, 0 ≤ w ≤ v, and index μ is embedded into a G-design (V, B) of order v and index λ, if μ ≤λ X ⊆ V and there is an injective mapping f : C ! B such that B is subgraph of f (B) for every B ∈ C. For every pair of positive integers v≥4, we determine the minimum value of w such that there exists a balanced incomplete block design of order v, index λ≥ 2 and block-size 4 which embeds a K3-design of order v − w, 0 ≤w ≤ v, and index μ = 1.
|Titolo:||On the existence of an S_l(2,4,v) which embeds an S(2,3,v-w) of maximum order for lambda≥2|
|Autori interni:||MILICI, Salvatore|
|Data di pubblicazione:||2010|
|Rivista:||BULLETIN OF THE INSTITUTE OF COMBINATORICS AND ITS APPLICATIONS|
|Appare nelle tipologie:||1.1 Articolo in rivista|