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Monomial basis
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#	Item
1	Graph-coloring ideals Nullstellensatz certificates, Gröbner bases for chordal graphs, and hardness of Gröbner bases David Rolnick Add to Reading List Source URL: www.issac-symposium.org Language: English - Date: 2015-08-17 07:00:17 Mathematics Algebra Graph coloring Abstract algebra Computer algebra Algebraic geometry Commutative algebra Grbner basis Invariant theory Monomial order Polynomial
2	GROEBNER: A Package for Calculating Gr¨obner Bases, Version 3.0 H. Melenk & W. Neun Konrad–Zuse–Zentrum f¨ ur Informationstechnik Berlin Add to Reading List Source URL: reduce-algebra.com Language: English - Date: 2008-12-30 11:46:40 Mathematics Algebra Abstract algebra Polynomials Commutative algebra Computer algebra Invariant theory Monomial Variable Grbner basis Monomial order
3	Solving efficiently structured polynomial systems and Applications in Cryptology Jean-Charles Faugère Joint work with: L. Huot Add to Reading List Source URL: ecc2011.loria.fr Language: English - Date: 2011-09-30 12:40:03 Computer algebra Algebraic geometry Polynomials Algebra Commutative algebra Grbner basis Monomial order System of polynomial equations Resultant Monomial Lexicographical order Jean-Charles Faugre
4	Radboud University Automatic Geometric Theorem Proving using Gr¨obner Bases Bachelor’s Thesis Mathematics Add to Reading List Source URL: www.math.kun.nl Language: English - Date: 2008-10-15 02:58:56 Polynomials Commutative algebra Invariant theory Computer algebra Algebraic geometry Polynomial ring Monomial order Polynomial Grbner basis KnuthBendix completion algorithm
5	Discrete Mathematics and Theoretical Computer Science Proceedings AA (DM-CCG), 2001, 315–328 Computing Minimal Generating Sets of Invariant Rings of Permutation Groups ¨ with SAGBI-Grobner Add to Reading List Source URL: www.dmtcs.org Language: English - Date: 2005-10-17 15:50:24 Invariant theory Commutative algebra Polynomials Algebraic geometry Homogeneous polynomials Elementary symmetric polynomial Invariant Monomial Gröbner basis Algebra Abstract algebra Mathematics
6	Basis selection for SOS programs via facial reduction and polyhedral approximations Frank Permenter1 Abstract— We develop a monomial basis selection procedure for sum-of-squares (SOS) programs based on facial reduction Add to Reading List Source URL: www.mit.edu Language: English - Date: 2014-09-20 19:47:55 Homogeneous polynomials Polynomials Monomial basis Monomial Sum-of-squares optimization Positive polynomial Multivariate division algorithm Elementary symmetric polynomial Mathematics Algebra Abstract algebra
7	Improving Key Recovery to 784 and 799 rounds of Trivium using Optimized Cube Attacks Pierre-Alain Fouque1 and Thomas Vannet2 1 2 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-04-06 01:10:53 Cube attack Trivium Homogeneous polynomial Degree of a polynomial Monomial IP Quadratic polynomial Monomial basis Polynomials Mathematics Algebra
8	Wolfram Mathematica® Tutorial Collection ADVANCED ALGEBRA For use with Wolfram Mathematica® 7.0 and later. Add to Reading List Source URL: wolfram.com Language: English - Date: 2010-09-10 15:07:08 Algebraic geometry Polynomials Commutative algebra Computer algebra Invariant theory Gröbner basis Homogeneous polynomial Monomial order Algebraic number field Abstract algebra Algebra Mathematics
9	Basis selection for SOS programs via facial reduction and polyhedral approximations Frank Permenter1 Abstract— We develop a monomial basis selection procedure for sum-of-squares (SOS) programs based on facial reduction Add to Reading List Source URL: groups.csail.mit.edu Language: English - Date: 2014-09-21 11:13:41 Homogeneous polynomials Polynomials Monomial basis Monomial Sum-of-squares optimization Positive polynomial Multivariate division algorithm Elementary symmetric polynomial Mathematics Algebra Abstract algebra