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Abstract
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Let
be a finite set of pure binomials in the variables
, and write
for the ideal
generated by these binomials. We define a new measure of the complexity of the saturation of the ideal
with respect to the
product of the
, which
we call the
norm of
.
We give a bound on the norm in terms of easily computed invariants of
. We
discuss statistical applications, both practical and theoretical.
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Keywords
markov basis, saturation, toric ideals
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Mathematical Subject Classification 2010
Primary: 13P25, 14M25
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Milestones
Received: 17 September 2019
Revised: 26 May 2020
Accepted: 6 July 2020
Published: 28 December 2020
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