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Department Seminar: Wilf Classes of Parking Permutations with Fixed Lucky Sets
Monday, Oct 5, 12:30 p.m. - 1:30 p.m.
Title: Wilf Classes of Parking Permutations with Fixed Lucky Sets
Abstract: In a parking function of length n, the order in which the cars park is called a parking permutation. For each parking function, cars that park in their preferred spot are called lucky cars. In this talk, we characterize and enumerate parking permutations that avoid patterns of length three and whose lucky cars are the first k cars. Often, the enumeration simplifies to just a fraction times a binomial coefficient. This is joint work with Melani Ferreri.
