Discrete Applied Math Seminar By Kevin Milans: Ordered Turan Numbers

Speaker:

Kevin Milans, West Virginia University 

Title:

Ordered Turan Numbers

Abstract:

An ordered hypergraph $G$ is a hypergraph whose vertices are linearly ordered.  The ordered Turan Number of an $r$-uniform hypergraph $G$ is the maximum number of edges in an $n$-vertex $r$-uniform ordered graph not containing $G$ as an ordered subgraph.  We obtain the ordered Turan Numbers of tight $r$-uniform $n$-vertex paths asymptotically when $n \le 2r-1$ and discuss the case of longer tight paths when $r=3$. 

This is joint work with Jackson Porter and John Bright.

The Discrete Applied Math seminar will be held most Fridays from 3:30 p.m. - 4:30 p.m. on Zoom during the Spring 2022 semester.

Discrete Applied Math seminar