Odd-cycle transversal in triangle-free graphs

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Recomm. for undergrads: no
Posted by: fhavet
on: March 6th, 2013
Conjecture   If $ G $ is a simple triangle-free graph, then there is a set of at most $ n^2/25 $ edges whose deletion destroys every odd cycle.

Bibliography

*[EFPS] P. Erdös, R. Faudree, J. Pach and J. Spencer, How to make a graph bipartite. J. Combin. Theory Ser. B 45 (1988), 86--98.


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