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math.OC2009★ 14 cited
Computation with Polynomial Equations and Inequalities arising in Combinatorial Optimization
Jesus A. De Loera, Peter N. Malkin, Pablo A. Parrilo
The purpose of this note is to survey a methodology to solve systems of polynomial equations and inequalities. The techniques we discuss use the algebra of multivariate polynomials…
math.OC2006★ 3 cited
Truncated Markov bases and Gröbner bases for Integer Programming
Peter N. Malkin
We present a new algorithm for computing a truncated Markov basis of a lattice. In general, this new algorithm is faster than existing methods. We then extend this new algorithm so…