78 citations · 147 across the 7 of their papers we have counts for
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math.AC2009★ 1 cited
An extension of Buchberger's criteria for Groebner basis decision
John Perry
Two fundamental questions in the theory of Groebner bases are decision ("Is a basis G of a polynomial ideal a Groebner basis?") and transformation ("If it is not, how do we transfo…
math.CO2009★ 5 cited
Generalizing Dodgson's method: a "double-crossing" approach to computing determinants
Deanna Leggett, John Perry, Eve Torrence
Dodgson's method of computing determinants was recently revisited in a paper that appeared in the College Math Journal. The method is attractive, but fails if an interior entry of…
math.AC2009★ 78 cited
F5C: a variant of Faugere's F5 algorithm with reduced Groebner bases
Christian Eder, John Perry
Faugere's F5 algorithm computes a Groebner basis incrementally, by computing a sequence of (non-reduced) Groebner bases. The authors describe a variant of F5, called F5C, that repl…