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ORDER
2011
12 years 11 months ago
Cancellation in Skew Lattices
Distributive lattices are well known to be precisely those lattices that possess cancellation: x ∨ y = x ∨ z and x ∧ y = x ∧ z imply y = z. Cancellation, in turn, occurs wh...
Karin Cvetko-Vah, Michael K. Kinyon, Jonathan Leec...
ORDER
2011
12 years 11 months ago
Order Types of Convex Bodies
We prove a Hadwiger transversal type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the ord...
Alfredo Hubard, Luis Montejano, Emiliano Mora, And...
ORDER
2011
12 years 11 months ago
Biorders with Frontier
Denis Bouyssou, Thierry Marchant
ORDER
2011
12 years 11 months ago
Strict Betweennesses Induced by Posets as well as by Graphs
For a finite poset P = (V, ≤), let Bs(P) consist of all triples (x, y, z) ∈ V 3 such that either x < y < z or z < y < x. Similarly, for every finite, simple, and...
Dieter Rautenbach, Philipp Matthias Schäfer
Operations Research
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