A geometric permutation is the pair of permutations formed by a common transversal for a finite family of disjoint convex sets in the plane. It is shown that if A is a family of n convex and pairwise disjoint segments in the plane then the number of geometric permutations formed by all common transversals of A cannot be more than n.
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics