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math.CO2025
Improved Bounds on Rainbow -partite Matchings
Pitchayut Saengrungkongka
Let , , and be positive integers. We say that a sequence of nonnegative integers is satisfying if for any collection of families $\mathcal F_1,\dots,\…
math.CO2025
On -intersecting Families of Spanning Trees
Pitchayut Saengrungkongka
We prove that there exists a constant such that for all integers , if $\calA$ is a collection of spanning trees in such that any two intersect at at lea…