3 citations · 6 across the 15 of their papers we have counts for
21 papers
Self-inverse linear subspaces of matrices
Rodica Andreea Dinu, Martin Vodička
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…
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 Vodička
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…
Artinian Gorenstein algebras with binomial Macaulay dual generator
Nasrin Altafi, Rodica Dinu, Sara Faridi +4
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all…
New families of Artinian Gorenstein algebras with the weak Lefschetz property
Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3
We construct new families of Artinian Gorenstein graded -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…
On the maximum likelihood degree for Gaussian graphical models
Carlos Améndola, Rodica Andreea Dinu, Mateusz Michałek +1
In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML-degree behaves monotonically on induced subgraphs. Furthermore,…
Phylogenetic degrees for Jukes-Cantor model
Rodica Andreea Dinu, Martin Vodička
Jukes-Cantor model is one of the most meaningful statistical models from a biological perspective. We are interested in computing the algebraic degrees for phylogenetic varieties,…
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…
Classification of normal phylogenetic varieties for tripods
Rodica Andreea Dinu, Martin Vodička
We provide a complete classification of normal phylogenetic varieties coming from tripods, and more generally, from trivalent trees. Let be an abelian group. We prove that the…
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…
Phylogenetic degrees for claw trees
Rodica Andreea Dinu, Martin Vodička
Group-based models appear in algebraic statistics as mathematical models coming from evolutionary biology, respectively the study of mutations of organisms. Both theoretically and…
Non-simple polyominoes of Kőnig type and their canonical module
Rodica Dinu, Francesco Navarra
We study the Kőnig type property for non-simple polyominoes. We prove that, for closed path polyominoes, the polyomino ideals are of Kőnig type, extending the results of Herzog and…
Geometry of the Gaussian graphical model of the cycle
Rodica Andreea Dinu, Mateusz Michałek, Martin Vodička
We prove a conjecture due to Sturmfels and Uhler concerning the degree of the projective variety associated to the Gaussian graphical model of the cycle. We involve new methods bas…
Applications of intersection theory: from maximum likelihood to chromatic polynomials
Rodica Andreea Dinu, Mateusz Michałek, Tim Seynnaeve
Recently, we have witnessed tremendous applications of algebraic intersection theory to branches of mathematics, that previously seemed very distant. In this article we review some…
Restricted classes of Veronese type ideals and algebras
Rodica Dinu, Jürgen Herzog, Ayesha Asloob Qureshi
We study ideals which are generated by monomials of degree in the polynomial ring in variables and which satisfy certain numerical side conditions regarding their exponents…
K-theoretic Tutte polynomials of morphisms of matroids
Rodica Dinu, Christopher Eur, Tim Seynnaeve
We generalize the Tutte polynomial of a matroid to a morphism of matroids via the K-theory of flag varieties. We introduce two different generalizations, and demonstrate that each…
Gorenstein property for phylogenetic trivalent trees
Rodica Dinu, Martin Vodička
We study the Gorenstein property for phylogenetic group-based models. We prove that for the groups and and trivalent trees the associa…
The Hessian Discriminant
Rodica Dinu, Tim Seynnaeve
We express the Hessian discriminant of a cubic surface in terms of fundamental invariants. This answers Question 15 from the \emph{27 questions on the cubic surface}. We also expla…
Gorenstein -spread Veronese algebras
Rodica Dinu
In this paper we characterize the Gorenstein -spread Veronese algebras.
Flag matroids: algebra and geometry
Amanda Cameron, Rodica Dinu, Mateusz Michałek +1
Matroids are ubiquitous in modern combinatorics. As discovered by Gelfand, Goresky, MacPherson and Serganova there is a beautiful connection between matroid theory and the geometry…
On the regularity of join-meet ideals of modular lattices
Rodica Dinu, Viviana Ene, Takayuki Hibi
We study join-meet ideals associated with modular non-distributive lattices. We give a lower bound for the regularity and show that they are not linearly related.