A Helly number for unions of two boxes in .

Breen, Marilyn

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On a special family of compact convex sets in the Euclidean plane $ℝ^{2}$ .

Kramer, Horst (2006)

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Decomposability of Abstract and Path-Induced Convexities in Hypergraphs

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An abstract convexity space on a connected hypergraph H with vertex set V (H) is a family C of subsets of V (H) (to be called the convex sets of H) such that: (i) C contains the empty set and V (H), (ii) C is closed under intersection, and (iii) every set in C is connected in H. A convex set X of H is a minimal vertex convex separator of H if there exist two vertices of H that are separated by X and are not separated by any convex set that is a proper subset of X. A nonempty subset X...