Equitable Orientations of Sparse Uniform Hypergraphs
Copyright policy )Equitable Orientations of Sparse Uniform Hypergraphs
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.
[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], Hypergraphs, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], hypergraphs, orientations, entropy compression, lopsided Lovasz local lemma, FOS: Mathematics, Mathematics - Combinatorics, [INFO.INFO-CC] Computer Science [cs]/Computational Complexity [cs.CC], Density (toughness, etc.), Combinatorics (math.CO)
[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], Hypergraphs, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], hypergraphs, orientations, entropy compression, lopsided Lovasz local lemma, FOS: Mathematics, Mathematics - Combinatorics, [INFO.INFO-CC] Computer Science [cs]/Computational Complexity [cs.CC], Density (toughness, etc.), Combinatorics (math.CO)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!