Border basis detection is NP-complete

Prabhanjan V. Ananth; Ambedkar Dukkipati

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arXiv · 1011.6021

Border basis detection is NP-complete

Prabhanjan V. Ananth·Ambedkar Dukkipati

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Abstract

Border basis detection (BBD) is described as follows: given a set of generators of an ideal, decide whether that set of generators is a border basis of the ideal with respect to some order ideal. The motivation for this problem comes from a similar problem related to Gröbner bases termed as Gröbner basis detection (GBD) which was proposed by Gritzmann and Sturmfels (1993). GBD was shown to be NP-hard by Sturmfels and Wiegelmann (1996). In this paper, we investigate the computational complexity of BBD and show that it is NP-complete.

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Prabhanjan V. Ananth, Ambedkar Dukkipati. 2010-11-28. Border basis detection is NP-complete. https://arxiv.org/abs/1011.6021

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