##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics Seminar

## Ruth Luo

#### UCSD

## A Dirac Theorem for hamiltonian hypergraphs

##### Abstract:

Dirac proved that every $n$-vertex graph with minimum degree at least $n/2$ contains a hamiltonian cycle. We prove an analogue for hypergraphs: we give exact bounds for the minimum degree of a uniform hypergraph that implies the existence of hamiltonian Berge cycles. \\ \\ This is joint work with Alexandr Kostochka and Grace McCourt.

Host: Professor Jacques Verstraete

### September 28, 2021

### 4:00 PM

APM 6402 (Halkin Room)

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