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math.CO2024
Strongly nice property and Schur positivity of graphs
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
Motivated by the notion of nice graphs, we introduce the concept of strongly nice property, which can be used to study the Schur positivity of symmetric functions. We show that a g…
math.CO2024
Stanley's conjecture on the Schur positivity of distributive lattices
Grace M. X. Li, Dun Qiu, Arthur L. B. Yang +1
In this paper we solve an open problem on distributive lattices, which was proposed by Stanley in 1998. This problem was motivated by a conjecture due to Griggs, which equivalently…