Disjoint-union conjecture for oriented cycles

Let C1,,CtC_1,\ldots,C_t be orientations of undirected cycles, and let C1˙˙CtC_1\mathbin{\dot\cup}\cdots\mathbin{\dot\cup}C_t be their disjoint union.

Disjoint-union conjecture for oriented cycles. Any disjoint union of orientations of cycles is δ+\delta^+-maderian.

This would generalize the known result for disjoint unions of digons and the paper's result for a single oriented cycle; its resolution is not stated in the supplied text.

Sources & referencesView supporting material

Primary source

Lior Gishboliner, Raphael Steiner and Tibor Szabó, “Oriented cycles in digraphs of large outdegree”, arXiv:2008.13224 (2020).

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