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math.CO2024
On supratopologies, normalized families and Frankl conjecture
André Carvalho, António Machiavelo
We introduce some generalized topological concepts to deal with union-closed families, and show that one can reduce the proof of Frankl's conjecture to some families of so-called s…
math.CO2023
On Sum Graphs over Some Magmas
António Machiavelo, Rogério Reis
We consider the notions of sum graph and of relaxed sum graph over a magma, give several examples and results of these families of graphs over some natural magmas. We classify the…