Anita Pasotti

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The size of a (v, 5, 2, 1) optical orthogonal code (OOC) is shown to be at most equal to v 12 when v ≡ 11 (mod 132) or v ≡ 154 (mod 924), and at most equal to v 12 in all the other cases. Thus a (v, 5, 2, 1)-OOC is naturally said to be optimal when its size reaches the above bound. Many direct and recursive constructions for infinite classes of optimal (v,(More)
We report in the following tables a linear realization of some lists L = {1 a , 2 b , 3 c , 5 d } used by the authors to prove the results of [1], omitted there for sake of brevity. We order the lists according to the Lemmas/Propositions/Theorems in which they are used. In the second column of the following tables, we write P if the corresponding linear(More)
In this paper we investigate a problem proposed by Marco Buratti, Peter Horak and Alex Rosa (denoted by BHR-problem) concerning Hamiltonian paths in the complete graph with prescribed edge-lengths. In particular we solve BHR({1 a , 2 b , t c }) for any even integer t 4, provided that a+b t−1. Furthermore, for t = 4, 6, 8 we present a complete solution of(More)
We introduce a generalization of the well known concept of a graceful labeling. Given a graph Γ with e = d · m edges, we call d-graceful labeling of Γ an injective function from(m + 1)}. In the case of d = 1 and of d = e we find the classical notion of a graceful labeling and of an odd graceful labeling, respectively. Also, we call d-graceful α-labeling of(More)
Suppose Γ to be of a subgraph of a graph Γ. We define a sampling of a Γ-design B = (V, B) into a Γ-design B = (V, B) as a surjective map ξ : B → B mapping any block of B into one of its subgraphs. A sampling will be called regular when the number of preimages of any block of B under ξ is a constant. This new concept is closely related with the classical(More)
Let Γ be a subgraph of a graph Γ. We define a down-link from a (K v , Γ)-design B to a (K n , Γ)-design B as an injective map f : B → B mapping any block of B into one of its subgraphs. This is a new concept, closely related with both the classical notion of embedding and the more recent one of sampling. In the present paper we study down-links in general(More)