Seminar Event Detail

Student Combinatorics

Date:  Tuesday, December 01, 2020
Location:  Virtual (5:00 PM to 6:00 PM)

Title:  The RSK algorithm for longest paths

Abstract:   The Robinson-Schensted-Knuth correspondence gives a very concrete algorithm for converting a permutation into a pair of Young Tableaux, from which we can extract the longest increasing subsequence of the original permutation. Fulton and Viennot's Geometric construction gives a different algorithm for producing these Young Tableaux, without so many intermediate steps. Along the way, it converts longest increasing subsequence(s) into disjoint longest paths in N^2 (the positive integer lattice). We will go over this alternative algorithm, enjoy some of its symmetries, and (time permitting) discuss how we might recover these longest disjoint paths.


Speaker:  Scott Neville

Event Organizer:     


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