41 citations · 48 across the 7 of their papers we have counts for
9 papers
Some new results on Sylvester colorings of cubic graphs
Luca Ferrarini, Vahan Mkrtchyan
If and are two cubic multi-graphs, then an -coloring of is a mapping , such that for every there is a vertex , such t…
The Total Matching Polytope of Complete Bipartite Graphs
Yuri Faenza, Luca Ferrarini
The total matching polytope generalizes the stable set polytope and the matching polytope. In this paper, we first propose new facet-defining inequalities for the total matching po…
A SAT Encoding to Compute Aperiodic Tiling Rhythmic Canons
Gennaro Auricchio, Luca Ferrarini, Stefano Gualandi +2
In Mathematical Music theory, the Aperiodic Tiling Complements Problem consists in finding all the possible aperiodic complements of a given rhythm . The complexity of this prob…
Facets of the Total Matching Polytope for bipartite graphs
Luca Ferrarini
The Total Matching Polytope generalizes the Stable Set Polytope and the Matching Polytope. In this paper, we give the perfect formulation for Trees and we derive two new families o…
An Integer Linear Programming Model for Tilings
Gennaro Auricchio, Luca Ferrarini, Greta Lanzarotto
In this paper, we propose an Integer Linear Model whose solutions are the aperiodic rhythms tiling with a given rhythm A. We show how this model can be used to efficiently check th…
Total Coloring and Total Matching: Polyhedra and Facets
Luca Ferrarini, Stefano Gualandi
A total coloring of a graph is an assignment of colors to vertices and edges such that neither two adjacent vertices nor two incident edges get the same color, and, fo…
Improving Solar and PV Power Prediction with Ensemble Methods
L. A. Dao, L. Ferrarini, D. La Carrubba
Estimation of the generated power of renewable energy resources is in general important for planning operations as well as demand balance and power quality. This paper addresses th…
A hierarchical distributed predictive control approach for microgrids energy management
Le Anh Dao, Alireza Dehghani-Pilehvarani, Achilleas Markou +1
This paper addresses the problem of management and coordination of energy resources in a typical microgrid, including smart buildings as flexible loads, energy storages, and renewa…
Normal -edge-colorings of a family of Loupekhine snarks
Luca Ferrarini, Giuseppe Mazzuoccolo, Vahan Mkrtchyan
In a proper edge-coloring of a cubic graph an edge is called poor or rich, if the set of colors of the edges incident to and contains exactly three or five colors, res…