2 papers
math.CO2025
Isomorphism in Union-Closed Sets
M. J. Moghaddas Mehr
We prove that for any isomorphism between pure union-closed families, there exists a hyperisomorphism $H: \bigcup \mathcal{K}_1 \to \bigcup \ma…
math.CO2023
A Note on the Union-closed Sets Conjecture
Mohammad Javad Moghaddas Mehr
Let be a non-zero binary matrix with distinct rows where the rows are closed under certain logical operators. In this article, we investigate the existence of columns containin…