2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144117We show that the Ramsey number is linear for every uniform hypergraph with bounded-degree. This is a hypergraph extension of the famous theorem for ordinary graphs which Chvátal et al. showed in 1983. Our proof is simple, contains the multicolor case, and provides a strong embedding lemma. It shows the potential of a new hypergraph regularity lemma by the author.11 pagesCombinatoricsProbability05D55,05C65Linear Ramsey numbers for bounded-degree hypergraphstext