11 citations · 22 across the 17 of their papers we have counts for
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math.ST2011★ 1 cited
Cones of elementary imsets and supermodular functions: a review and some new results
Takuya Kashimura, Tomonari Sei, Akimichi Takemura +1
In this paper we give a review of the method of imsets introduced by Studeny (2005) from a geometric point of view. Elementary imsets span a polyhedral cone and its dual cone is th…
math.ST2011
Properties of semi-elementary imsets as sums of elementary imsets
Takuya Kashimura, Tomonari Sei, Akimichi Takemura +1
We study properties of semi-elementary imsets and elementary imsets introduced by Studeny (2005). The rules of the semi-graphoid axiom (decomposition, weak union and contraction) f…