Bollobás–Scott partition conjecture for Eulerian digraphs

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Let GG be an Eulerian directed graph on nn vertices, meaning that its indegree equals its outdegree at every vertex. Bollobás–Scott partition conjecture. The edge set of GG can be partitioned into O(n)O(n) directed cycles. The source presents this as a stronger version of the long-cycle conjecture; it states that the conjecture is open even for simple graphs.

References

Primary source

Oliver Janzer, Benny Sudakov and István Tomon, “Long directed paths in Eulerian digraphs”, arXiv:2101.11601 (2021).

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