4 papers
Inverse Boundary Value and Optimal Control Problems on Graphs: A Neural and Numerical Synthesis
Mehdi Garrousian, Amirhossein Nouranizadeh
A general setup for deterministic system identification problems on graphs with Dirichlet and Neumann boundary conditions is introduced. When control nodes are available along the…
A blowup algebra of hyperplane arrangements
Mehdi Garrousian, Aron Simis, Stefan Tohaneanu
It is shown that the Orlik-Terao algebra is graded isomorphic to the special fiber of the ideal generated by the -fold products of the members of a central arrangement o…
Generalized star configurations and the Tutte polynomial
Benjamin Anzis, Mehdi Garrousian, Stefan Tohaneanu
From the generating matrix of a linear code one can construct a sequence of generalized star configurations which are strongly connected to the generalized Hamming weights and the…
Minimum distance of linear codes and the -invariant
Mehdi Garrousian, Stefan Tohaneanu
The simple interpretation of the minimum distance of a linear code obtained by De Boer and Pellikaan, and later refined by the second author, is further developed through the study…