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coding theory 1extremal combinatorics 1Gilbert-Varshamov bound 1graph theory 1metric spaces 1

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most citedGWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run

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math.CO2026

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

Lucas Waite, Nuh Aydin

The paper studies codes in finite metric spaces by modeling them as independent sets in proximity graphs, extending the Gilbert‑Varshamov bound and showing that local subgraph coun…