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math.CO2025
Spanning Components and Surfaces Under Minimum Vertex Degree
Jack Allsop, Ander Lamaison, Richard Lang +1
We study minimum vertex-degree conditions in 3-uniform hypergraphs for (tight) spanning components and (combinatorial) surfaces. Our main results show that a 3-uniform hypergraph $…
math.CO2025
Loose Hamiltonicity
Richard Lang, Nicolás Sanhueza-Matamala
We study the appearance of Hamilton -cycles in dense -uniform hypergraphs when and does not divide . Our main result reduces this problem to th…