Výsledky vyhledávání - "Gionfriddo, Mario"

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A short proof of the conjecture of Erd\'{o}s--Straus for every $n\equiv 13 \textrm{ mod }24$

The Erd\"{o}s--Straus conjecture states that the equation $\frac{4}{n}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ has positive integer solutions $x,y,z$ for every postive integers $n\geq 2$. In this short note we find explicity the solutions of the famous

Externí odkaz: http://arxiv.org/abs/2005.03273

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Complex uniformly resolvable decompositions of $K_v$

Autor: Bujtàs, Csilla, Gionfriddo, Mario, Guardo, Elena, Milazzo, Lorenzo, Milici, Salvatore, Tuza, Zsolt

In this paper we consider the complex uniformly resolvable decompositions of the complete graph $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph from a given set $\mathcal H$. We completely determ

Externí odkaz: http://arxiv.org/abs/2003.10032

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Akademický článek

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Resolvable h-sun designs

Autor: Gionfriddo, Mario, Faro, Giovanni Lo, Milici, Salvatore, Tripodi, Antoinette

In this article we completely determine the spectrum for uniformly resolvable decompositions of the complete graph K_v into r 1-factors and s classes containing only copies of h-suns.

Externí odkaz: http://arxiv.org/abs/1503.01690

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Resolvable G-designs of order v and index {\lambda}

Autor: Gionfriddo, Mario, Faro, Giovanni Lo, Milici, Salvatore, Tripodi, Antoinette

In this paper we consider the problem concerning the existence of a resolvable G-design of order v and index {\lambda}. We solve the problem for the cases in which G is a connected subgraph of K_4.

Externí odkaz: http://arxiv.org/abs/1503.00446

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