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arXiv · 2404.01452

The Linear $q$-Hypergraph Process

Sayok Chakravarty·Nicholas Spanier
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Abstract

We analyze a random greedy process to construct $q$-uniform linear hypergraphs using the differential equation method. We show for $q=o(\sqrt{\log n})$, that this process yields a hypergraph with $\frac{n(n-1)}{q(q-1)}(1-o(1))$ edges. We also give some bounds for maximal linear hypergraphs.

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Sayok Chakravarty, Nicholas Spanier. 2024-12-16. The Linear $q$-Hypergraph Process. https://arxiv.org/abs/2404.01452

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