1 citations · 1 across the 1 of their papers we have counts for
3 papers
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…
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…
Separation of integer points by a hyperplane under some weak notions of discrete convexity
Takuya Kashimura, Yasuhide Numata, Akimichi Takemura
We give some sufficient conditions of separation of two sets of integer points by a hyperplane. Our conditions are related to the notion of convexity of sets of integer points and…