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math.CO2025
The Hajnal--Rothschild problem
Peter Frankl, Andrey Kupavskii
For a family define as the largest for which there exist such that for we have . Wha…
math.CO2025
Intersecting Families of Spanning Trees
Peter Frankl, Glenn Hurlbert, Ferdinand Ihringer +4
A family of spanning trees of the complete graph on vertices is \emph{-intersecting} if any two members have a forest on edges in common. We prove an…