OFFSET
1,1
REFERENCES
Akimichi Takemura and Ruriko Yoshida, Saturation points on faces of a rational polyhedral cone, in Integer Points in Polyhedra -- Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics; Contemporary Mathematics 452, American mathematical Society, 2008, pp.147-161.
LINKS
Akimichi Takemura and Ruriko Yoshida, Saturation points on faces of a rational polyhedral cone
EXAMPLE
Table 1 of Takemura and Yoshida: Faces for 2 x 2 x 2 x 2 tables with three 2-marginals and a 3-marginal. The first column represents the dimension of faces, the second column represents the number of faces, the third column represents the number of nowhere saturated faces and the fourth column represents the number of almost saturated faces.
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Dimension.|.# of faces.|.# of nowhere.|.# of almost|
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...11....|.....48.....|.......0......|.....48.....|
...10....|....492.....|.......0......|....492.....|
....9....|...2104.....|.......0......|...2104.....|
....8....|...4898.....|.......2......|...4896.....|
....7....|...6956.....|......16......|...6940.....|
....6....|...6440.....|......56......|...6384.....|
....5....|...4064.....|.....112......|...3952.....|
....4....|...1796.....|.....140......|...1656.....|
....3....|....560.....|.....112......|....448.....|
....2....|....120.....|......56......|.....64.....|
....1....|.....16.....|......16......|......0.....|
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CROSSREFS
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, May 12 2008
STATUS
approved