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On a theorem of Helly

✍ Scribed by N. A. Bobylev


Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
354 KB
Volume
58
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


The Helly intersection theorem
✍ N. A. Bobylev πŸ“‚ Article πŸ“… 1991 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 221 KB
A Helly theorem for convexity in graphs
✍ Robert E. Jamison; Richard Nowakowski πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 561 KB
A Helly theorem in weakly modular space
✍ Hans-JΓΌrgen Bandelt; Victor Chepoi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 772 KB

The d-convex sets in a metric space are those subsets which include the metric interval between any two of its elements. Weak modularity is a certain interval property for triples of points. The d-convexity of a discrete weakly modular space X coincides with the geodesic convexity of the graph forme

A Helly-type theorem for simple polygons
✍ Marilyn Breen πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 321 KB

Let P be a family of simple polygons in the plane. If every three (not necessarily distinct) members of P have a simply connected union and every two members of P have a nonempty intersection, then N{P:P in P) Β’ Β’. Applying the result to a finite family C of orthogonally convex polygons, the set fq{