#### Filter Results:

- Full text PDF available (26)

#### Publication Year

1988

2014

- This year (0)
- Last 5 years (4)
- Last 10 years (15)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Gaetano Quattrocchi
- Discrete Mathematics
- 2002

Let (W, C) be an m-cycle system of order n and let Ω ⊂ W , |Ω| = v < n. We say that a path design (Ω, P) of order v and block size s (2 ≤ s ≤ m − 1) is embedded in (W, C) if for every p ∈ P there is an m-cycle c = (a 1 , a 2 ,. .. , a m) ∈ C such that: (1) p = [a (s − 1)-path p occurs in the m-cycle c); and (2) a k−1 , a k+s ∈ Ω. Note that in (1) and (2)… (More)

- − e-designs, Charles J. Colbourn, Gaetano Quattrocchi
- 2002

A (K 4 − e)-design on v + w points embeds a Steiner triple system if there is a subset of v points on which the graphs of the design induce the blocks of a Steiner triple system. It is established that w ≥ v/3, and that when equality is met that such a minimum embedding of an STS(v) exists, except when v = 15.

- Gaetano Quattrocchi
- Discrete Mathematics
- 2003

- Charles J. Colbourn, Alan C. H. Ling, Gaetano Quattrocchi
- Discrete Mathematics
- 2005

Let D be the triangle with an attached edge (i. e. D is the " kite " , a graph having vertices {a 0 , a 1 , a 2 , a 3 } and edges {a 0 , a 1 }, {a 0 , a 2 }, {a 1 , a 2 }, {a 0 , a 3 }). Bermond and Schönheim [6] proved that a kite-design of order n exists if and only if n ≡ 0 or 1 (mod 8). Let (W, C) be a nontrivial kite-design of order n ≥ 8, and let V ⊂… (More)

- Charles C. Lindner, Gaetano Quattrocchi, Christopher A. Rodger
- Discrete Mathematics
- 2009

- Selda Küçükçifçi, Charles C. Lindner, Gaetano Quattrocchi
- Discrete Mathematics
- 2009

- Salvatore Milici, Gaetano Quattrocchi
- Discrete Mathematics
- 1999

- Gaetano Quattrocchi
- Electr. J. Comb.
- 2001

A colouring of a 4-cycle system (V, B) is a surjective mapping φ : V → Γ. The elements of Γ are colours. If |Γ| = m, we have an m-colouring of (V, B). For every B ∈ B, let φ(B) = {φ(x)|x ∈ B}. There are seven distinct colouring patterns in which a 4-cycle can be coloured: type a (× × ××, monochromatic), type b (× × ×2, two-coloured of pattern 3 + 1), type c… (More)

- Gaetano Quattrocchi, Eric Mendelsohn
- Discrete Mathematics
- 2004

A 5-cycle system on v + w points embeds a balanced P 4-design on v points if there is a subset of v points on which the 5-cycles induce the blocks of a balanced P 4-design.

- Mario Gionfriddo, Gaetano Quattrocchi
- Discrete Mathematics
- 2004

To Curt Lindner on the occasion of his 65th birthday.