9 papers
Self-inverse linear subspaces of matrices
Rodica Andreea Dinu, Martin VodiÄka
We study linear subspaces of matrices whose inverse spaces are also linear. Based on the fact that any linear space containing the identity matrix and whose inverse space is linear…
The Complete Intersection property for binomial ideals of collections of cells
Rodica Dinu, Francesco Navarra
In this paper, we provide a combinatorial characterization of those collections of cells whose inner -minor ideals are complete intersections. More precisely, given a collection…
On the rook polynomial of grid polyominoes
Rodica Dinu, Francesco Navarra
Grid polyominoes form a class of thin polyominoes with one or more holes arranged in a grid-like pattern in the plane. In this paper, we prove that the rook polynomial of grid poly…
Non-simple polyominoes of KÅnig type and their canonical module
Rodica Dinu, Francesco Navarra
We study the KÅnig type property for non-simple polyominoes. We prove that, for closed path polyominoes, the polyomino ideals are of KÅnig type, extending the results of Herzog a…
Proof of a Conjecture of Drton, Sturmfels and Sullivant on the maximum likelihood degree of the Gaussian graphical model of a cycle
Rodica Andreea Dinu, Martin VodiÄka
In this article, we compute the precise value of the maximum likelihood degree of the Gaussian graphical model of a cycle, confirming a conjecture due to Drton, Sturmfels and Sulli…
On the -condition of edge rings for cactus graphs
Rodica Dinu, Nayana Shibu Deepthi
A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we will examine cactus graphs where all the blocks are -cycles, i.e., trian…