9 citations · 18 across the 14 of their papers we have counts for
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On the dimension of the strongly robust complex for configurations in general position
Dimitra Kosta, Apostolos Thoma, Marius Vladoiu
Strongly robust toric ideals are the toric ideals for which the set of indispensable binomials is the Graver basis. The strongly robust simplicial complex of a simple toric i…
The strongly robust simplicial complex of monomial curves
Dimitra Kosta, Apostolos Thoma, Marius Vladoiu
To every simple toric ideal one can associate the strongly robust simplicial complex , which determines the strongly robust property for all ideals that have as th…
On the strongly robustness property of toric ideals
Dimitra Kosta, Apostolos Thoma, Marius Vladoiu
To every toric ideal one can associate an oriented matroid structure, consisting of a graph and another toric ideal, called bouquet ideal. The connected components of this graph ar…
Hypergraph encodings of arbitrary toric ideals
Sonja Petrović, Apostolos Thoma, Marius Vladoiu
Relying on the combinatorial classification of toric ideals using their bouquet structure, we focus on toric ideals of hypergraphs and study how they relate to general toric ideals…
Bouquet algebra of toric ideals
Sonja Petrović, Apostolos Thoma, Marius Vladoiu
To any toric ideal , encoded by an integer matrix , we associate a matroid structure called {\em the bouquet graph} of and introduce another toric ideal called {\em the…
Binomial fibers and indispensable binomials
Hara Charalambous, Apostolos Thoma, Marius Vladoiu
Let be an arbitrary ideal generated by binomials. We show that certain equivalence classes of fibers are associated to any minimal binomial generating set of . We provide a…