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math.CO2026
The chromatic noncommutative symmetric function of oriented trees
Lingxiao Hao, Shenglin Zhu
A long-standing question is whether chromatic symmetric functions can distinguish non-isomorphic trees. Campbell introduced chromatic noncommutative symmetric functions for digraph…
math.CO2024
Compatibility axioms for left-regular bands to construct Hopf algebras
Lingxiao Hao, Shenglin Zhu
Aguiar and Mahajan provided several coalgebra axioms and algebra axioms for a family of left-regular bands to construct a commutative diagram of algebras and coalgebras. In this pa…