Dear All,
Please find the details of Friday's T-Talk.
Speaker: Ambar Pal
Abstract:
Given a hypergraph $H=(X,S)$, a support is a graph $G=(X,E)$, on the vertex set $X$, such that $X\cap S_i$ induces a connected subgraph for each $S_i \in S}$. Further, if $G$ is planar, then it is called a planar support.
In this talk, we will look at geometric hypergraphs. Here the hyperedges are convex non-piercing regions in a plane and the vertices are points on the plane. We will analyse the case where the regions are rectangles and show how to construct a planar support in time $O(n polylog(n))$ for this case.
The proof uses a nice construction using L-shaped Delaunay edges, and should be easily accessible without any prerequisites. If time permits we will also look at some analogues of the properties of Delaunay Triangulations in this world.
Venue: A007
Time: 1 pm - 2 pm, 10 August 2018