M. Gionfriddo

activity

20112025

most citedExtending bicolorings for Steiner Triple Systems

2 citations · 2 across the 6 of their papers we have counts for

collaborators

7 papers

math.CO2025

A construction of Steiner Triple Systems of type $v ⟶ 2 v + 7$

Paola Bonacini, Mario Gionfriddo, Lucia Marino

A Steiner Triple System ( $S T S$ ) of order $v$ is a hypergraph uniform of rank 3, with $v$ vertices and such that every 2-subset of vertices has degree 1. In this paper we give a con…

math.NT2020

A short proof of the conjecture of Erdös--Straus for every $n \equiv 13 mod 24$

Mario Gionfriddo, Elena Guardo

The Erdös--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 $n \geq 2$ .…

math.CO2020

Complex uniformly resolvable decompositions of $K_{v}$

Csilla Bujtàs, Mario Gionfriddo, Elena Guardo +3

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…

math.CO2015

Uniformly resolvable $(C_{4}, K_{1, 3})$ -designs of order $v$ and index $2$

M. Gionfriddo, S. Kucukcifci, S. Milici +1

In this paper we consider the uniformly resolvable decompositions of the complete graph $2 K_{v}$ into subgraphs where each resolution class contains only blocks isomorphic to the sam…

math.CO2015

Resolvable h-sun designs

Mario Gionfriddo, Giovanni Lo Faro, Salvatore Milici +1

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-su…

math.CO2015

Resolvable G-designs of order v and index λ

Mario Gionfriddo, Giovanni Lo Faro, Salvatore Milici +1

In this paper we consider the problem concerning the existence of a resolvable G-design of order v and index λ. We solve the problem for the cases in which G is a connected subgrap…

math.CO2011★ 2 cited

Extending bicolorings for Steiner Triple Systems

M. Gionfriddo, E. Guardo, L. Milazzo

We initiate the study of extended bicolorings of Steiner triple systems (STS) which start with a $k$ -bicoloring of an STS( $v$ ) and end up with a $k$ -bicoloring of an STS( $2 v + 1$ ) ob…

A construction of Steiner Triple Systems of type v⟶2v+7

A short proof of the conjecture of Erdös--Straus for every n≡13 mod 24

Complex uniformly resolvable decompositions of Kv​

Uniformly resolvable (C4​,K1,3​)-designs of order v and index 2

Resolvable h-sun designs

Resolvable G-designs of order v and index λ

Extending bicolorings for Steiner Triple Systems

A construction of Steiner Triple Systems of type $v ⟶ 2 v + 7$

A short proof of the conjecture of Erdös--Straus for every $n \equiv 13 mod 24$

Complex uniformly resolvable decompositions of $K_{v}$

Uniformly resolvable $(C_{4}, K_{1, 3})$ -designs of order $v$ and index $2$