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Author

Matthew B. Hastings

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Jul 2026

A Spectral Proof of the Hypergraph Moore Bound

A nonempty subfamily of a $k$-uniform hypergraph is an \emph{even cover} if every vertex lies in an even number of its hyperedges; for $k=2$ these are edge-disjoint unions of cycles, so the minimum size of an even cover is the natural hypergraph analogue of girth. We prove Feige's 2008 conjecture on the hypergraph Moor...

Alexander Schmidhuber, Matthew B. Hastings · 1 citation

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