Publication details
COUNTING FLAGS IN TRIANGLE-FREE DIGRAPHS
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Combinatorica : an international journal of the János Bolyai Mathematical Society |
| Citation | |
| Doi | http://dx.doi.org/10.1007/s00493-015-2662-5 |
| Description | Motivated by the Caccetta-Haggkvist Conjecture, we prove that every digraph on n vertices with minimum outdegree 0:3465n contains an oriented triangle. This improves the bound of 0:3532n of Hamburger, Haxell and Kostochka. The main new tool we use in our proof is the theory of flag algebras developed recently by Razborov. |