The size of a hypergraph and its matching number

Series
Combinatorics Seminar
Time
Friday, April 13, 2012 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Huang Hao – Math, UCLA
Organizer
Prasad Tetali
More than 40 years ago, Erdos asked to determine the maximum possible number of edges in a k-uniform hypergraph on n vertices with no matching of size t (i.e., with no t disjoint edges). Although this is one of the most basic problem on hypergraphs, progress on Erdos' question remained elusive. In addition to being important in its own right, this problem has several interesting applications. In this talk we present a solution of Erdos' question for t