13 citations · 33 across the 22 of their papers we have counts for
30 papers
Inductive approach to chromatic and characteristic polynomials
Madison Cox, Michele Torielli
In this article we describe a new inductive approach to compute the chromatic polynomial of simple graphs and the characteristic polynomial of central hyperplane arrangements.
Enumerative combinatorics package for CoCoA
Akin Scott, Michele Torielli
We introduce the package combinatorics for the software CoCoA. This package provides a data structure and the necessary methods for computing several known enumerative combinatoria…
A new iterative algorithm for comprehensive Grobner systems
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
A Comprehensive Grobner system for a parametric ideal I in K(A)[X] represents the collection of all Grobner bases of the ideals I' in K[X] obtained as the values of the parameters…
Freeness of hyperplane arrangements associated with gain graphs
Daisuke Suyama, Michele Torielli, Shuhei Tsujie
Athanasiadis studied arrangements obtained by adding shifted hyperplanes to the braid arrangement. Similarly, Bailey studied arrangements obtained by adding tilted hyperplanes to t…
Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements
Simone Marchesi, Elisa Palezzato, Michele Torielli
In this article, we study the weak and strong Lefschetz of higher dimensional quotients and dimension 1 almost complete intersections. We then apply the obtained results to the stu…
Total outer-connected domination number of middle graphs
Farshad Kazemnejad, Behnaz Pahlavsay, Elisa Palezzato +1
In this paper, we study the total outer-connected domination number of the middle graph of a simple graph and we obtain tight bounds for this number in terms of the order of the mi…