Discriminants, Symmetrized Graph Monomials, and Sums Of Squares

DOI10.1080/10586458.2012.669608zbMath1259.13012arXiv1104.0589OpenAlexW3106453899MaRDI QIDQ4908499

Per Alexandersson, Boris Zalmanovich Shapiro

Publication date: 6 March 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0589

zbMATH Keywords

symmetric polynomialsgraph monomialspolynomials sums of squares

Mathematics Subject Classification ID

Graph polynomials (05C31) Symmetric functions and generalizations (05E05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Actions of groups on commutative rings; invariant theory (13A50) Coloring of graphs and hypergraphs (05C15) Real algebra (13J30)

Related Items (4)

An algebraic approach to FQHE variational wave functions ⋮ The entropic discriminant ⋮ A property of discriminants ⋮ An algebraic approach to electron interactions in quantum Hall systems

Cites Work

• Colorings and orientations of graphs
• Binary invariants and orientations of graphs
• Correspondence between Sylvester, Petersen, Hilbert and Klein on invariants and the factorisation of graphs 1889--1891
• On Rota's problem about \(n\) bases in a rank \(n\) matroid
• On sums of squares

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