Bollobás–Scott partition conjecture for Eulerian digraphs

From papers

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.

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Sources & referencesView supporting material

Primary source

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

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