scientific article

zbMath1147.15300MaRDI QIDQ3517562

Richard G. Swan, Vijay Kodiyalam, Tsit-Yuen Lam

Publication date: 12 August 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

determinantal idealsalternating matricesdivision ringscommutative ringsskew-symmetricsymmetricPfaffiansadditive decomposition of matricesalternating-clean matricesMcCoy ranksPfaffian expansion formulasprincipal minor theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Ideals and multiplicative ideal theory in commutative rings (13A15) Matrices over function rings in one or more variables (15A54) Vector spaces, linear dependence, rank, lineability (15A03) Divisibility and factorizations in commutative rings (13A05)

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Principal minor ideals and rank restrictions on their vanishing sets ⋮ Maximal pivots on graphs with an application to gene assembly ⋮ Sorting by reversals and the theory of 4-regular graphs ⋮ The adjacency matroid of a graph ⋮ Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials ⋮ The group structure of pivot and loop complementation on graphs and set systems

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