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math.CO2022★ 2 cited
Exact antichain saturation numbers via a generalisation of a result of Lehman-Ron
Paul Bastide, Carla Groenland, Hugo Jacob +1
For given positive integers and , a family of subsets of is -antichain saturated if it does not contain an antichain of size , but adding…
math.CO2021★ 1 cited
Improved pyrotechnics : Closer to the burning graph conjecture
Paul Bastide, Marthe Bonamy, Anthony Bonato +4
The Burning Number Conjecture claims that for every connected graph of order its burning number satisfies While the conjecture remains o…