6 citations · 10 across the 3 of their papers we have counts for
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math.AC2005
Truncated Groebner fans and lattice ideals
Niels Lauritzen
We outline a generalization of the Groebner fan of a homogeneous ideal with maximal cells parametrizing truncated Groebner bases. This "truncated" Groebner fan is usually much smal…
math.AC2005★ 6 cited
Homogeneous Buchberger algorithms and Sullivant's computational commutative algebra challenge
Niels Lauritzen
We give a variant of the homogeneous Buchberger algorithm for positively graded lattice ideals. Using this algorithm we solve the Sullivant computational commutative algebra challe…
math.AC2005
The generic Groebner walk
K. Fukuda, A. N. Jensen, N. Lauritzen +1
The Groebner walk is an algorithm for conversion between Groebner bases for different term orders. It is based on the polyhedral geometry of the Groebner fan and involves tracking…