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A MINI element over star convex polytopes
(Elsevier, 2020)
In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal projection (VANP) method over polytopes in combination with ...
4D Orthogonal Polytopes
(2018)
Lift-and-project ranks of the stable set polytope of joined a-perfect graphs
(Elsevier Science, 2016-09)
In this paper we study lift-and-project polyhedral operators defined by Lovász and Schrijver and Balas, Ceria and Cornuéjols on the clique relaxation of the stable set polytope of webs. We compute the disjunctive rank of ...
An improved LMI condition for robust D-stability of uncertain polytopic systems
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2003)
On the Stability of a class of Polytopes of third order square matrices and stability radiusOn the Stability of a class of Polytopes of third order square matrices and stability radius
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2002)
A new characterization of the center of a polytope
(Soc Brasileira Matematica Aplicada & ComputacionalSao Carlos SpBrasil, 1997)
On the Stability of a class of Polytopes of third order square matrices and stability radiusOn the Stability of a class of Polytopes of third order square matrices and stability radius
(2011-04-29)
In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the ...
On the Stability of a class of Polytopes of third order square matrices and stability radiusOn the Stability of a class of Polytopes of third order square matrices and stability radius
(2011-04-29)
In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the ...
Quantum walk on the generalized birkhoff polytope graph
(2021-10-01)
We study discrete-time quantum walks on generalized Birkhoff polytope graphs (GBPGs), which arise in the solution-set to certain transportation linear programming problems (TLPs). It is known that quantum walks mix at most ...
A partial answer to the Demyanov Ryabova conjecture
(Springer, 2018)
In this work we are interested in the Demyanov-Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle ...