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Uniformly resolvable decompositions of K_v into paths on two, three and four vertices
Giovanni Lo Faro, Salvatore Milici, Antoinette Tripodi
In this paper we consider uniformly resolvable decompositions of the complete graph K_v into subgraphs such that each resolution class contains only blocks isomorphic to the same g…
Enumerations of (K_4-e)-designs with small orders
Yanxun Chang, Tao Feng, Giovanni Lo Faro +1
It is established that up to isomorphism,there are only one (K_4-e)-design of order 6, three (K_4-e)-designs of order 10 and two (K_4-e)-designs of order 11. As an application of o…
Resolvable 3-star designs
Selda Kucukcifci, Giovanni Lo faro, Salvatore Milici +1
Let Kv be the complete graph of order v and F be a set of 1-factors of Kv. In this article we study the existence of a resolvable decomposition of Kv - F into 3-stars when F has th…