As seen in Sect. 2.1 , we say that a convexity \(\mathcal {C}\) on a finite set V  is a convex geometry (or a geometric convexity) if it satisfies the Minkowski–Krein–Milman property: every convex set is the convex hull of its extreme points.

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Convex Geometries in Graphs

  • Júlio Araújo,
  • Mitre C. Dourado,
  • Fábio Protti,
  • Rudini M. Sampaio

摘要

As seen in Sect. 2.1 , we say that a convexity \(\mathcal {C}\) on a finite set V  is a convex geometry (or a geometric convexity) if it satisfies the Minkowski–Krein–Milman property: every convex set is the convex hull of its extreme points.