**Conjecture**Let be a graph and let such that for any pair there are edge-disjoint paths from to in . Then contains edge-disjoint trees, each of which contains .

This problem was featured as unsolved problem #22 in Bondy and Murty's book "Graph Theory" [BM].

See also a posting on the open problem forum of the Egerváry Research Group on Combinatorial Optimization.

## Bibliography

[BM] J. A. Bondy and U. S. R. Murty. Graph theory, volume 244 of Graduate Texts in Mathematics. Springer, New York, 2008.

* indicates original appearance(s) of problem.