Informally, a G-design (X, B) is said to be ∈-transmutable into a G'-design (X, B') if we can take a set D_∈ = {∈_B : B ∈ B} of (isomorphic) edges, one from each copy of G, in such a way there exists a suitable bijection σ between B and D_∈ such that B' = {(B - ∈_B) + σ_(B) : B ∈ B}. In the case that G is isomorphic to G' we say that the G-design is ∈-switchable. This paper determines the spectrum of λ-fold e-transmutable G-design where G is a kite (a triangle with an edge attached) and G' is either a kite or a 4-cycle.
Transmutable lambda-fold kite systems
LO FARO, Giovanni;TRIPODI, Antoinette
2008-01-01
Abstract
Informally, a G-design (X, B) is said to be ∈-transmutable into a G'-design (X, B') if we can take a set D_∈ = {∈_B : B ∈ B} of (isomorphic) edges, one from each copy of G, in such a way there exists a suitable bijection σ between B and D_∈ such that B' = {(B - ∈_B) + σ_(B) : B ∈ B}. In the case that G is isomorphic to G' we say that the G-design is ∈-switchable. This paper determines the spectrum of λ-fold e-transmutable G-design where G is a kite (a triangle with an edge attached) and G' is either a kite or a 4-cycle.File in questo prodotto:
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