activity
20102023
most citedFamilies of Small Regular Graphs of Girth 5

27 citations · 59 across the 21 of their papers we have counts for

collaborators

21 papers

math.CO2023

A characterization of graphs with small palette index

Domenico Labbate, Davide Mattiolo, Giuseppe Mazzuoccolo +2

Given an edge-coloring of a graph , we associate to every vertex of the set of colors appearing on the edges incident with . The palette index of is defined as th…

math.CO2022

A construction for a counterexample to the pseudo 2-factor isomorphic graph conjecture

M. Abreu, M. Funk, D. Labbate +1

A graph admiting a -factor is \textit{pseudo -factor isomorphic} if the parity of the number of cycles in all its -factors is the same. In [M. Abreu, A.A. Diwan, B. Ja…

math.CO2021

Perfect matchings, Hamiltonian cycles and edge-colourings in a class of cubic graphs

Marién Abreu, John Baptist Gauci, Domenico Labbate +2

A graph has the Perfect-Matching-Hamiltonian property (PMH-property) if for each one of its perfect matchings, there is another perfect matching of such that the union of t…

math.CO2021

Strongly regular configurations

Marién Abreu, Martin Funk, Vedran Krčadinac +1

We study combinatorial configurations with the associated point and line graphs being strongly regular. Examples not belonging to known classes such as partial geometries and their…

math.CO2019★ 3 cited

Extending perfect matchings to Hamiltonian cycles in line graphs

Marién Abreu, John Baptist Gauci, Domenico Labbate +2

A graph admitting a perfect matching has the Perfect-Matching-Hamiltonian property (for short the PMH-property) if each of its perfect matchings can be extended to a Hamiltonian cy…

math.CO2017

A note on 2--bisections of claw--free cubic graphs

M. Abreu, J. Goedgebeur, D. Labbate +1

A \emph{--bisection} of a bridgeless cubic graph is a --colouring of its vertex set such that the colour classes have the same cardinality and all connected components in…