149 citations
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math.AC2005★ 3 cited
Janet Bases of Toric Ideals
Vladimir P. Gerdt, Yuri A. Blinkov
In this paper we present a version of the general polynomial involutive algorithm for computing Janet bases specialized to toric ideals. The relevant data structures are Janet tree…
math.AC2005★ 48 cited
Involutive Algorithms for Computing Groebner Bases
Vladimir P. Gerdt
In this paper we describe an efficient involutive algorithm for constructing Groebner bases of polynomial ideals. The algorithm is based on the concept of involutive monomial divis…