Author

Luke Waite

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Preprint Jul 2026

Bipartite Extremal Numbers of Trees

We study a restriction of the classical Erd\H{o}s--S\'os problem, the extremal number of trees, to the class of bipartite host graphs, both when only the order of the host is prescribed and when its two part-sizes are fixed. We give natural lower-bound constructions and formulate corresponding linear upper-bound conjec...

Luke Waite, Nuh Aydin · 0 citations

Jul 2026

Combinatorial Bounds for Codes over Metric Spaces: Ramsey-Sidorenko Thresholds and Subgraph Counts

It is demonstrated that local subgraph statistics alone are insufficient to surpass the GV bound in the Hamming case, suggesting that improvements must stem from large-scale structural properties of the space.

Luke Waite, Nuh Aydin · arXiv.org · 0 citations