giovanni Lo Faro | University of Messina (original) (raw)

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Papers by giovanni Lo Faro

Research paper thumbnail of Uniform (Ck, Pk+1)-Factorizations of Kn − I When k Is Even

Mathematics, Mar 15, 2022

Research paper thumbnail of Embeddings of λ-fold kite systems, λ ≥ 2

Research paper thumbnail of A class of extended triple systems and numbers of common triples

Research paper thumbnail of Intersection numbers of Latin squares with their own orthogonal mates

Research paper thumbnail of The spectrum of α-resolvable λ-fold (K_4 - e)-designs

Ars Mathematica Contemporanea, Mar 1, 2016

Research paper thumbnail of A note on the union-closed sets conjecture

Journal of the Australian Mathematical Society, Oct 1, 1994

Research paper thumbnail of Repeated blocks in indecomposable twofold extended triple systems

The Australasian Journal of Combinatorics, Dec 1, 1998

Research paper thumbnail of Resolvable h-sun designs

arXiv (Cornell University), Mar 5, 2015

Research paper thumbnail of Resolvable 3-star designs

Discrete Mathematics, Apr 1, 2015

Research paper thumbnail of 2-Colourings in S(t, t + 1, v)

Discrete Mathematics, Feb 1, 1993

Research paper thumbnail of Uniformly resolvable decompositions of Kv into paths on two, three and four vertices

Discrete Mathematics, Dec 1, 2015

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

arXiv (Cornell University), Mar 2, 2015

Research paper thumbnail of Enumerations of (K4 − e)-designs with small orders 1

arXiv (Cornell University), Feb 27, 2014

Research paper thumbnail of The first BSTS with different upper and lower chromatic numbers

Research paper thumbnail of Three types of edge-switchable kite systems

Ars Combinatoria, 2011

ABSTRACT Informally, an ϵ-switchable G-design is a decomposition of the complete graph into subgr... more ABSTRACT Informally, an ϵ-switchable G-design is a decomposition of the complete graph into subgraphs of isomorphic copies of G which have the property that they remain a G-decomposition when ϵ-edge switches are made to the subgraphs. This paper determines the spectrum of ϵ-switchable G-design where G is a kite (a triangle with an edge attached) and ϵ takes t-edge, h-edge and l-edge.

Research paper thumbnail of On minimal--spaces

Research paper thumbnail of On Block Sharing Steiner Quadruple Systems

Elsevier eBooks, 1986

Annals of Discrete Mathematics 30 (1986) 297-302 © Elsevier Science Publishers BV (North-Holland)... more Annals of Discrete Mathematics 30 (1986) 297-302 © Elsevier Science Publishers BV (North-Holland) 297 ON BLOCK SHARING STEINER QUADRUPLE SYSTEMS Giovanni LO FARO (*) Dipartimento di Matematica del 1'Universita, Via C. Battisti 90, 98100 MESSINA, Italy ...

Research paper thumbnail of The Doyen-Wilson theorem for 3-sun systems

Ars Mathematica Contemporanea, Sep 20, 2018

Research paper thumbnail of Strict colourings of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si52.gif" overflow="scroll"><mml:mtext>STS</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mi>v</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>s and uncolourable <mml:math xmlns:mml="...

Discrete Mathematics, Sep 1, 2005

Research paper thumbnail of The intersection problem for twin bowtie and near bowtie systems

Ars Combinatoria, 2001

ABSTRACT The authors completely determine the set of numbers k such that there exists a pair of t... more ABSTRACT The authors completely determine the set of numbers k such that there exists a pair of twin bowtie systems (or twin near bowtie systems) intersecting in k bowties. The proof is constructive. A bowtie in a graph is a pair of triangles having exactly one vertex in common. A bowtie system is a set of edge disjoint bowties partitioning the edge set of a complete graph.

Research paper thumbnail of Uniform (Ck, Pk+1)-Factorizations of Kn − I When k Is Even

Mathematics, Mar 15, 2022

Research paper thumbnail of Embeddings of λ-fold kite systems, λ ≥ 2

Research paper thumbnail of A class of extended triple systems and numbers of common triples

Research paper thumbnail of Intersection numbers of Latin squares with their own orthogonal mates

Research paper thumbnail of The spectrum of α-resolvable λ-fold (K_4 - e)-designs

Ars Mathematica Contemporanea, Mar 1, 2016

Research paper thumbnail of A note on the union-closed sets conjecture

Journal of the Australian Mathematical Society, Oct 1, 1994

Research paper thumbnail of Repeated blocks in indecomposable twofold extended triple systems

The Australasian Journal of Combinatorics, Dec 1, 1998

Research paper thumbnail of Resolvable h-sun designs

arXiv (Cornell University), Mar 5, 2015

Research paper thumbnail of Resolvable 3-star designs

Discrete Mathematics, Apr 1, 2015

Research paper thumbnail of 2-Colourings in S(t, t + 1, v)

Discrete Mathematics, Feb 1, 1993

Research paper thumbnail of Uniformly resolvable decompositions of Kv into paths on two, three and four vertices

Discrete Mathematics, Dec 1, 2015

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

arXiv (Cornell University), Mar 2, 2015

Research paper thumbnail of Enumerations of (K4 − e)-designs with small orders 1

arXiv (Cornell University), Feb 27, 2014

Research paper thumbnail of The first BSTS with different upper and lower chromatic numbers

Research paper thumbnail of Three types of edge-switchable kite systems

Ars Combinatoria, 2011

ABSTRACT Informally, an ϵ-switchable G-design is a decomposition of the complete graph into subgr... more ABSTRACT Informally, an ϵ-switchable G-design is a decomposition of the complete graph into subgraphs of isomorphic copies of G which have the property that they remain a G-decomposition when ϵ-edge switches are made to the subgraphs. This paper determines the spectrum of ϵ-switchable G-design where G is a kite (a triangle with an edge attached) and ϵ takes t-edge, h-edge and l-edge.

Research paper thumbnail of On minimal--spaces

Research paper thumbnail of On Block Sharing Steiner Quadruple Systems

Elsevier eBooks, 1986

Annals of Discrete Mathematics 30 (1986) 297-302 © Elsevier Science Publishers BV (North-Holland)... more Annals of Discrete Mathematics 30 (1986) 297-302 © Elsevier Science Publishers BV (North-Holland) 297 ON BLOCK SHARING STEINER QUADRUPLE SYSTEMS Giovanni LO FARO (*) Dipartimento di Matematica del 1'Universita, Via C. Battisti 90, 98100 MESSINA, Italy ...

Research paper thumbnail of The Doyen-Wilson theorem for 3-sun systems

Ars Mathematica Contemporanea, Sep 20, 2018

Research paper thumbnail of Strict colourings of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si52.gif" overflow="scroll"><mml:mtext>STS</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mi>v</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>s and uncolourable <mml:math xmlns:mml="...

Discrete Mathematics, Sep 1, 2005

Research paper thumbnail of The intersection problem for twin bowtie and near bowtie systems

Ars Combinatoria, 2001

ABSTRACT The authors completely determine the set of numbers k such that there exists a pair of t... more ABSTRACT The authors completely determine the set of numbers k such that there exists a pair of twin bowtie systems (or twin near bowtie systems) intersecting in k bowties. The proof is constructive. A bowtie in a graph is a pair of triangles having exactly one vertex in common. A bowtie system is a set of edge disjoint bowties partitioning the edge set of a complete graph.

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