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math.CO2024
A short proof of the Hilton-Milner Theorem
Denys Bulavka, Russ Woodroofe
We give a short and relatively elementary proof of the Hilton-Milner Theorem.
math.CO2024
A Hilton-Milner theorem for exterior algebras
Denys Bulavka, Francesca Gandini, Russ Woodroofe
Recent work of Scott and Wilmer and of Woodroofe extends the Erdős-Ko-Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hil…
cs.CG2024
Computing shortest closed curves on non-orientable surfaces
Denys Bulavka, Éric Colin de Verdière, Niloufar Fuladi
We initiate the study of computing shortest non-separating simple closed curves with some given topological properties on non-orientable surfaces. While, for orientable surfaces, a…