Combinatorics of Intervals





Rating is available when the video has been rented.
This feature is not available right now. Please try again later.
Published on Apr 14, 2015

Speaker: András Gyárfás (Rényi Institute)

Abstract: Assume that J is a set of intervals on the real line. The following two important minimax theorems have been discovered by Tibor Gallai.

1. minimum number of partition classes of J into pairwise disjoint intervals = maximum number of pairwise intersecting members of J

2. minimum number of points piercing all members of J = maximum number of pairwise disjoint members of J

What happens if J is replaced by other structures? By subtrees of a tree? By arcs of a circle? By boxes? By intervals of the plane?

  • Category

  • License

    • Standard YouTube License


to add this to Watch Later

Add to

Loading playlists...