A Note on Convex Realizability of Arrangements of Pseudocircles

  title={A Note on Convex Realizability of Arrangements of Pseudocircles},
  author={Johann Linhart and Ronald Ortner},
An arrangement of pseudocircles is a collection of Jordan curves in the plane with at most two intersections between any two curves. We consider the question when such an arrangement can be realized with convex curves. We show that the existence of an open region which is contained in the interior of all curves of the arrangement is a sufficient condition for the existence of a convex realization. 

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