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- W2953570792 abstract "Chen proposed a conjecture on the log-concavity of the generating function for the symmetric group with respect to the length of longest increasing subsequences of permutations. Motivated by Chen's log-concavity conjecture, Bona, Lackner and Sagan further studied similar problems by restricting the whole symmetric group to certain of its subsets. They obtained the log-concavity of the corresponding generating functions for these subsets by using the hook-length formula. In this paper, we generalize and prove their results by establishing the Schur positivity of certain symmetric functions. This also enables us to propose a new approach to Chen's original conjecture." @default.
- W2953570792 created "2019-07-12" @default.
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- W2953570792 date "2017-03-19" @default.
- W2953570792 modified "2023-09-27" @default.
- W2953570792 title "Schur positivity and log-concavity related to longest increasing subsequences" @default.
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