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math.CO2026
Doubly Saturated Ramsey Graphs: A Case Study in Computer-Assisted Mathematical Discovery
Benjamin Przybocki, John Mackey, Marijn J. H. Heule +1
Ramsey-good graphs are graphs that contain neither a clique of size nor an independent set of size . We study doubly saturated Ramsey-good graphs, defined as Ramsey-good gra…
math.CO2025
Optimal and Efficient Partite Decompositions of Hypergraphs
Andrew Krapivin, Benjamin Przybocki, Nicolás Sanhueza-Matamala +1
We study the problem of partitioning the edges of a -uniform hypergraph into a family of complete -partite hypergraphs (-cliques). We show that there is a partitio…