Wang's arbitrary directed W-cycle-factor conjecture

Let DD be a digraph of order n6n\geq 6, and let WV(D)W\subseteq V(D). An arbitrary WW-cycle-factor is a collection of disjoint directed cycles realizing a prescribed partition of W|W| into parts of size at least 22.

Wang's conjecture. If δ(W)(3n3)/2\delta(W)\geq (3n-3)/2, then DD contains an arbitrary WW-cycle-factor.

This conjecture generalizes Wang's directed arbitrary cycle-factor conjecture and the graph version for specified vertex sets. Its status is not established in the source.

Sources & referencesView supporting material

Primary source

Yun Wang and Jin Yan, “On directed version of the Sauer-Spender Theorem”, arXiv:2001.11703 (2020).

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