Equitable Orientations of Sparse Uniform Hypergraphs

Nathann Cohen, William Lochet

Abstract


Caro, West, and Yuster (2011) studied how $r$-uniform hypergraphs can be oriented in such a way that (generalizations of) indegree and outdegree are as close to each other as can be hoped. They conjectured an existence result of such orientations for sparse hypergraphs, of which we present a proof.


Keywords


Hypergraphs; Orientations; Entropy compression; Lopsided lovasz local lemma

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