Fetching the paper…
Reading the bibliography…
Using the formalism of flag algebras, we prove that every triangle-free graph $G$ with $n$ vertices contains at most $(n/5)^5$ cycles of length five.
Operations with structures
László Lovász · 1967
Earlier work this paper cites.
On some problems in graph theory, combinatorial analysis and combinatorial number theory
Paul Erdős · 1984
Earlier work this paper cites.
How to make a graph bipartite
Paul Erdős, Ralph Faudree, János Pach, and Joel Spencer · 1988
Earlier work this paper cites.
On the number of C 5 C_{5} ’s in a triangle-free graph
Ervin Győri · 1989
Earlier work this paper cites.
On the edge distribution in triangle-free graphs
Michael Krivelevich · 1995
Earlier work this paper cites.
Graphs and Homomorphisms
Pavol Hell and Jaroslav Nešetřil · 2004
Earlier work this paper cites.
Sparse halves in triangle-free graphs
Peter Keevash and Benny Sudakov · 2006
Cited alongside, same era.
Flag algebras
Alexander A. Razborov · 2007
Cited alongside, same era.
Convergent sequences of dense graphs. I. Subgraph frequencies, metric properties and testing
Christian Borgs, Jennifer T. Chayes, László Lovász, Vera T. Sós, and Katalin Vesztergombi · 2008
Cited alongside, same era.
On the minimal density of triangles in graphs
Alexander A. Razborov · 2008
Cited alongside, same era.
Counting flags in triangle-free digraphs
Jan Hladký, Daniel Král, and Serguei Norine · 2009
Cited alongside, same era.
On 3-hypergraphs with forbidden 4-vertex configurations
Alexander A. Razborov · 2010
Later among the works it cites.
Cycles of length 5 in triangle-free graphs: A sporadic counterexample to a characterization of equality
T. S. Michael · 2011
Closest in time.
On the Fon-der-Flaass interpretation of extremal examples for Turan’s (3,4)-problem
Alexander A. Razborov · 2011
Closest in time.
On the maximum number of five-cycles in a triangle-free graph
Andrzej Grzesik · 2012
Closest in time.
Large networks and graph limits
László Lovász · 2012
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…