Poset geometries are characterized as convex geometries verifying a given property. These geometries are basic structures in combinatorial nconvexity, because any convex geometry can be generated from them [3]. In this paper, we will give a necessary and sufficient condition on the closure operator which leads us to a new characterization of poset geometry.
Combinatorial convexity and mathematical morphology
Rania F
1999-01-01
Abstract
Poset geometries are characterized as convex geometries verifying a given property. These geometries are basic structures in combinatorial nconvexity, because any convex geometry can be generated from them [3]. In this paper, we will give a necessary and sufficient condition on the closure operator which leads us to a new characterization of poset geometry.File in questo prodotto:
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