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math.ST2006
A generalization of the integer linear infeasibility problem
Akimichi Takemura, Ruriko Yoshida
Does a given system of linear equations with nonnegative constraints have an integer solution? This is a fundamental question in many areas. In statistics this problem arises in da…
math.ST2005
Indispensable monomials of toric ideals and Markov bases
Satoshi Aoki, Akimichi Takemura, Ruriko Yoshida
Extending the notion of indispensable binomials of a toric ideal, we define indispensable monomials of a toric ideal and establish some of their properties. They are useful for sea…