13 citations · 33 across the 22 of their papers we have counts for
5 papers · 1 filter
-tuple total domination number of rook's graphs
Behnaz Pahlavsay, Elisa Palezzato, Michele Torielli
A -tuple total dominating set (TDS) of a graph is a set of vertices in which every vertex in is adjacent to at least vertices in . The minimum size of a $k…
Freeness of Hyperplane Arrangements between Boolean Arrangements and Weyl Arrangements of Type
Michele Torielli, Shuhei Tsujie
Every subarrangement of Weyl arrangements of type is represented by a signed graph. Edelman and Reiner characterized freeness of subarrangements between type $ A_{\ell…
Hyperplane arrangements in CoCoA
Elisa Palezzato, Michele Torielli
We introduce the package \textbf{arrangements} for the software CoCoA. This package provides a data structure and the necessary methods for working with hyperplane arrangements. In…
Free hyperplane arrangements over arbitrary fields
Elisa Palezzato, Michele Torielli
In this paper, we study the class of free hyperplane arrangements. Specifically, we investigate the relations between freeness over a field of finite characteristic and freeness ov…
New characterizations of freeness for hyperplane arrangements
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
In this article we describe two new characterizations of freeness for hyperplane arrangements via the study of the generic initial ideal and of the sectional matrix of the Jacobian…