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4 papers · 1 filter
Global Rigidity of Triangulated Manifolds
James Cruickshank, Bill Jackson, Shin-ichi Tanigawa
We prove that if is the graph of a connected triangulated -manifold, for , then is generically globally rigid in if and only if it is -…
On uncrossing games for skew-supermodular functions
Hiroshi Hirai
In this note, we consider the uncrossing game for a skew-supermodular function , which is a two-player game with players, Red and Blue, and abstracts the uncrossing procedure in…
Markov degree of configurations defined by fibers of a configuration
Takayuki Koyama, Mitsunori Ogawa, Akimichi Takemura
We consider a series of configurations defined by fibers of a given base configuration. We prove that Markov degree of the configurations is bounded from above by the Markov comple…
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…